Journals
Monographs
MSP invites conferences, symposia, and academic departments to electronically publish their proceedings and monograph series with us.
Geometry & Topology Monographs
- 1. The Epstein birthday schrift, , 1998
- 2. Proceedings of the Kirbyfest, , 1999
- 3. Invitation to higher local fields, , 2000
- 4. Invariants of knots and 3-manifolds (Kyoto 2001), , 2002
- 5. Four-manifolds, geometries and knots, , 2002
- 6. Fragments of geometric topology from the sixties, , 2003
- 7. Proceedings of the Casson Fest (Arkansas & Texas 2003), , 2004
- 8. The interaction of finite-type and Gromov–Witten invariants (BIRS 2003), , 2006
- 9. Exotic homology manifolds (Oberwolfach 2003), , 2006
- 10. Proceedings of the Nishida Fest (Kinosaki 2003), , 2007
- 11. Proceedings of the School and Conference in Algebraic Topology (The Vietnam National University, Hanoi, 9–20 August 2004), , 2007
- 12. Workshop on Heegaard Splittings (Technion, Summer 2005), , 2007
- 13. Groups, homotopy and configuration spaces (Tokyo 2005), , 2008
- 14. The Zieschang Gedenkschrift, , 2008
- 15. Compactness and gluing theory for monopoles, , 2008
- 16. New topological contexts for Galois theory and algebraic geometry (BIRS 2008), , 2009
About G&T Monographs
The Geometry & Topology Monographs series is intended for research monographs, for refereed conference proceedings, and for similar collections. They are published at the University of Warwick, UK, under the imprint Geometry & Topology Publications.
Each printed volume is $25, plus $15 if shipped outside the United States.
Electronic access is free.
New Topological Contexts for Galois Theory and Algebraic Geometry (BIRS 2008)
(Geometry & Topology Monographs
16, 2009)
In the late twentieth century, stable homotopy theory expanded rapidly and became increasingly sophisticated in defining homotopically invariant algebraic machinery associated with multiplicative cohomology theories and their internal operations. Inputs to these developments have included established mathematical ideas from subjects such as algebraic geometry and number theory. The workshop ‘New Topological Contexts for Galois Theory and Algebraic Geometry’ brought together topologists involved in developing or using these new techniques and allowed for the interactions with other subject areas by including non-topologist participants who would contribute to this.
The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) provided wonderful facilities and support, amidst stunning mountain scenery, and we would like to thank all the staff and funding bodies that made it possible.
Andrew Baker and Birgit Richter
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Compactness and gluing theory for monopoles
(Geometry & Topology Monographs
15, 2008)
This book is devoted to the study of moduli spaces of Seiberg–Witten monopoles over spinc Riemannian 4-manifolds with long necks and/or tubular ends. The original purpose of this work was to provide analytical foundations for a certain construction of Floer homology of rational homology 3-spheres; this is carried out in [Monopole Floer homology for rational homology 3-spheres arXiv: 0809.4842]. However, along the way the project grew, and, except for some of the transversality results, most of the theory is developed more generally than is needed for that construction. Floer homology itself is hardly touched upon in this book, and, to compensate for that, I have included another application of the analytical machinery, namely a proof of a "generalized blow-up formula" which is an important tool for computing Seiberg–Witten invariants.
The book is divided into three parts. Part 1 is almost identical to my paper [Monopoles over 4-manifolds containing long necks I, Geom. Topol. 9 (2005) 1–93]. The other two parts consist of previously unpublished material. Part 2 is an expository account of gluing theory including orientations. The main novelties here may be the formulation of the gluing theorem, and the approach to orientations. In Part 3 the analytical results are brought together to prove the generalized blow-up formula.
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The Zieschang Gedenkschrift
(Geometry & Topology Monographs
14, 2008)
This volume is dedicated to Heiner Zieschang, who has been a teacher, mentor and friend to us and to those that have contributed the work contained in this volume.
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Groups, homotopy and configuration spaces (Tokyo 2005)
(Geometry & Topology Monographs
13, 2008)
This volume is the proceedings of the conference “Groups, Homotopy and Configuration Spaces” held at the University of Tokyo, July 5–11, 2005, in honor of the 60th birthday of Fred Cohen. The emphasis of the conference was on cohomology of groups, classical and modern homotopy theory, geometry and topology of configuration spaces and related topics. However, the conference was intended to have a broad scope, with talks on a variety of topics of current interests in topology. The organizing committee consisted of Norio Iwase, Toshitake Kohno, Ran Levi, Dai Tamaki and Jie Wu. The conference was supported by the COE program of the Graduate School of Mathematical Sciences, The University of Tokyo.
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Workshop on Heegaard Splittings (Technion, Summer 2005)
(Geometry & Topology Monographs
12, 2007)
Proceedings of the School and Conference in Algebraic Topology (The Vietnam National University, Hanoi, 9–20 August 2004)
(Geometry & Topology Monographs
11, 2007)
Proceedings of the Nishida Fest (Kinosaki 2003)
(Geometry & Topology Monographs
10, 2007)
Exotic homology manifolds (Oberwolfach 2003)
(Geometry & Topology Monographs
9, 2006)
This volume is the proceedings of the Mini-Workshop Exotic Homology manifolds held at Oberwolfach 29th June – 5th July, 2003. Homology manifolds were developed in the first half of the 20th century to give a precise setting for Poincaré's ideas on duality. Major results in the second half of the century came from two different areas. Methods from the point-set tradition were used to study homology manifolds obtained by dividing genuine manifolds by families of contractible subsets. ‘Exotic’ homology manifolds are ones that cannot be obtained in this way, and these have been investigated using algebraic and geometric methods.
The Mini-Workshop brought together experts from the point-set and algebraic traditions, along with new PhD's and people in related areas. There were 17 participants, 14 formal lectures and a problem session. There was a particular focus on the proof of the existence of exotic homology manifolds. This gave experts in each area an the opportunity to learn more about details coming from other areas. There had also been concerns about the stability (‘shrinking’) theorem that in retrospect is a crucial step in the proof but had not been worked out when the theorem was originally announced. This was discussed in detail. One of the high points of the conference was the discovery of a short and very general new proof of this result by Pedersen and Yamasaki (published in these proceedings), so there are now three independent treatments. Extensive discussions of examples and problems clarified the current state of the field and mapped out objectives for the next decade.
A Mini-Workshop on history entitled ‘Henri Poincaré and topology’ was held during the same week. There was joint discussion of the early history of manifolds, and each group offered evening lectures on topics of interest to the other. Several of the daytime history lectures also drew large numbers of homology manifold participants. The interaction between the two groups was very beneficial and should serve as a model for future such synergies.
We are grateful to the Oberwolfach Mathematics Institute for hosting the meeting, and to the participants, authors and the referees for their contributions.
Frank Quinn and Andrew Ranicki
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The interaction of finite-type and Gromov–Witten invariants (BIRS 2003)
(Geometry & Topology Monographs
8, 2006)
Proceedings of the Casson Fest (Arkansas and Texas 2003)
(Geometry & Topology Monographs
7, 2004)
This volume contains papers on a wide range of topics in low-dimensional topology. It arose out of two events that were held in 2003. The first was the 28th University of Arkansas Spring Lecture Series in the Mathematical Sciences, which took place April 10–12, 2003. These annual conferences focus on a specific topic of current interest in mathematics, and feature a principal lecturer who gives a series of five lectures and selects additional invited speakers. In 2003 the principal lecturer was Andrew Casson, and the title of his lecture series was "The Andrews-Curtis and the Poincare Conjectures". The invited speakers were Stephen Bigelow, Martin Bridson, Danny Calegari, Nathan Dunfield, Cameron Gordon, Alan Reid, Martin Scharlemann, Zlil Sela, and Peter Shalen. A special public lecture was given by Jeff Weeks. There were also several contributed talks. The organizers were Chaim Goodman-Strauss and Yo'av Rieck. The conference was supported by NSF Grant DMS-0245047 and by the Department of Mathematical Sciences, Fulbright College of Arts and Sciences and Graduate School of the University of Arkansas.
The second event was the Conference on the Topology of Manifolds of Dimensions 3 and 4, held at the University of Texas at Austin, May 19–21, 2003, in honor of the 60th birthday of Andrew Casson. Invited lectures were given by Danny Calegari, Bob Edwards, Mike Freedman, Dave Gabai, Rob Kirby, Greg Kuperberg, Darren Long, Peter Ozsvath, Andrew Ranicki, Ron Stern, Peter Teichner, Kevin Walker, and Terry Wall. The organizing committee consisted of Cameron Gordon, Bob Gompf, John Luecke and Alan Reid. The conference was supported by NSF Grant DMS-0229035 and by the Department of Mathematics of the University of Texas at Austin.
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Fragments of geometric topology from the sixties
(Geometry & Topology Monographs
6, 2003)
This monograph is being rewritten with new authorship. It will be republished shortly. We apologise for any inconvenience.
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Four-manifolds, geometries and knots
(Geometry & Topology Monographs
5, 2002)
The goal of this book is to characterize algebraically the closed 4-manifolds that fibre nontrivially or admit geometries in the sense of Thurston, or which are obtained by surgery on 2-knots, and to provide a reference for the topology of such manifolds and knots. The first chapter is purely algebraic. The rest of the book may be divided into three parts: general results on homotopy and surgery (Chapters 2–6), geometries and geometric decompositions (Chapters 7–13), and 2-knots (Chapters 14–18). In many cases the Euler characteristic, fundamental group and Stiefel–Whitney classes together form a complete system of invariants for the homotopy type of such manifolds, and the possible values of the invariants can be described explicitly. The strongest results are characterizations of manifolds which fibre homotopically over S¹ or an aspherical surface (up to homotopy equivalence) and infrasolvmanifolds (up to homeomorphism). As a consequence 2-knots whose groups are poly–Z are determined up to Gluck reconstruction and change of orientations by their groups alone.
This book arose out of two earlier books: 2-Knots and their Groups and The Algebraic Characterization of Geometric 4-Manifolds, published by Cambridge University Press for the Australian Mathematical Society and for the London Mathematical Society, respectively. About a quarter of the present text has been taken from these books, and I thank Cambridge University Press for their permission to use this material. The arguments have been improved and the results strengthened, notably in using Bowditch's homological criterion for virtual surface groups to streamline the results on surface bundles, using L² methods instead of localization, completing the characterization of mapping tori, relaxing the hypotheses on torsion or on abelian normal subgroups in the fundamental group and in deriving the results on 2–knot groups from the work on 4–manifolds. The main tools used are cohomology of groups, equivariant Poincare duality and (to a lesser extent) L²–cohomology, 3–manifold theory and surgery.
The book has been revised in March 2007. For details see the end of the preface.
Jonathan Hillman
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Invariants of knots and 3-manifolds (Kyoto 2001)
(Geometry & Topology Monographs
4, 2002)
Invitation to higher local fields
(Geometry & Topology Monographs
3, 2000)
This monograph is the result of the conference on higher local fields held in Muenster, August 29 to September 5, 1999. The aim is to provide an introduction to higher local fields (more generally complete discrete valuation fields with arbitrary residue field) and render the main ideas of this theory (Part I), as well as to discuss several applications and connections to other areas (Part II). The volume grew as an extended version of talks given at the conference. The two parts are separated by a paper of K. Kato, an IHES preprint from 1980 which has never been published.
An n-dimensional local field is a complete discrete valuation field whose residue field is an (n-1)-dimensional local field; 0-dimensional local fields are just perfect (e.g. finite) fields of positive characteristic. Given an arithmetic scheme, there is a higher local field associated to a flag of subschemes on it. One of central results on higher local fields, class field theory, describes abelian extensions of an n-dimensional local field via (all in the case of finite 0-dimensional residue field; some in the case of infinite 0-dimensional residue field) closed subgroups of the n-th Milnor K-group of F.
We hope that the volume will be a useful introduction and guide to the subject. The contributions to this volume were received over the period November 1999 to August 2000 and the electronic publication date is 10 December 2000.
Ivan Fesenko and Masato Kurihara
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Proceedings of the Kirbyfest
(Geometry & Topology Monographs
2, 1999)
The Epstein birthday schrift
(Geometry & Topology Monographs
1, 1998)
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