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Product Code:  PSPUM/99 
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eBook ISBN:  9781470448110 
Product Code:  PSPUM/99.E 
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Hardcover ISBN:  9781470440947 
eBook: ISBN:  9781470448110 
Product Code:  PSPUM/99.B 
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Hardcover ISBN:  9781470440947 
Product Code:  PSPUM/99 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9781470448110 
Product Code:  PSPUM/99.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9781470440947 
eBook ISBN:  9781470448110 
Product Code:  PSPUM/99.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 

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.

Table of Contents

Articles

Gergely Bèrczi, Brent Doran and Frances Kirwan — Graded linearisations

Aliakbar Daemi and Kenji Fukaya — AtiyahFloer 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 3folds in $G_2$manifolds

Jun Li — Toward an algebraic DonaldsonFloer 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 3folds

Julius Ross and David Witt Nyström — The Dirichlet problem for the complex homogeneous MongeAmpère equation

Gábor Székelyhidi — KählerEinstein metrics

Andrei Teleman — Donaldson theory in nonKählerian geometry

Edward Witten — Two lectures on gauge theory and Khovanov homology


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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 — AtiyahFloer 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 3folds in $G_2$manifolds

Jun Li — Toward an algebraic DonaldsonFloer 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 3folds

Julius Ross and David Witt Nyström — The Dirichlet problem for the complex homogeneous MongeAmpère equation

Gábor Székelyhidi — KählerEinstein metrics

Andrei Teleman — Donaldson theory in nonKählerian geometry

Edward Witten — Two lectures on gauge theory and Khovanov homology