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| Hardcover ISBN: | 978-1-4704-4094-7 |
| eBook: ISBN: | 978-1-4704-4811-0 |
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| AMS Member Price: | $219.20 $165.20 |
| Hardcover ISBN: | 978-1-4704-4094-7 |
| Product Code: | PSPUM/99 |
| List Price: | $139.00 |
| MAA Member Price: | $125.10 |
| AMS Member Price: | $111.20 |
| eBook ISBN: | 978-1-4704-4811-0 |
| Product Code: | PSPUM/99.E |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| Hardcover ISBN: | 978-1-4704-4094-7 |
| eBook ISBN: | 978-1-4704-4811-0 |
| Product Code: | PSPUM/99.B |
| List Price: | $274.00 $206.50 |
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 99; 2018; 416 ppMSC: Primary 32; 53; 57
This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the various topics described, while also giving a sense of the links between these different areas and the unity of modern geometry.
ReadershipGraduate students and researchers working in various aspects of geometry and applications of geometry to mathematical physics.
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Table of Contents
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Articles
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Gergely Bèrczi, Brent Doran and Frances Kirwan — Graded linearisations
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Aliakbar Daemi and Kenji Fukaya — Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations
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Yakov Eliashberg — Weinstein manifolds revisited
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Nigel Hitchin — Remarks on Nahm’s equations
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Dominic Joyce — Conjectures on counting associative 3-folds in $G_2$-manifolds
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Jun Li — Toward an algebraic Donaldson-Floer theory
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Hiraku Nakajima — Introduction to a provisional mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories
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Peter Ozsváth and Zoltán Szabó — An overview of knot Floer homology
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Rahul Pandharipande — Descendents for stable pairs on 3-folds
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Julius Ross and David Witt Nyström — The Dirichlet problem for the complex homogeneous Monge-Ampère equation
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Gábor Székelyhidi — Kähler-Einstein metrics
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Andrei Teleman — Donaldson theory in non-Kählerian geometry
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Edward Witten — Two lectures on gauge theory and Khovanov homology
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the various topics described, while also giving a sense of the links between these different areas and the unity of modern geometry.
Graduate students and researchers working in various aspects of geometry and applications of geometry to mathematical physics.
-
Articles
-
Gergely Bèrczi, Brent Doran and Frances Kirwan — Graded linearisations
-
Aliakbar Daemi and Kenji Fukaya — Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations
-
Yakov Eliashberg — Weinstein manifolds revisited
-
Nigel Hitchin — Remarks on Nahm’s equations
-
Dominic Joyce — Conjectures on counting associative 3-folds in $G_2$-manifolds
-
Jun Li — Toward an algebraic Donaldson-Floer theory
-
Hiraku Nakajima — Introduction to a provisional mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories
-
Peter Ozsváth and Zoltán Szabó — An overview of knot Floer homology
-
Rahul Pandharipande — Descendents for stable pairs on 3-folds
-
Julius Ross and David Witt Nyström — The Dirichlet problem for the complex homogeneous Monge-Ampère equation
-
Gábor Székelyhidi — Kähler-Einstein metrics
-
Andrei Teleman — Donaldson theory in non-Kählerian geometry
-
Edward Witten — Two lectures on gauge theory and Khovanov homology
