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Full Description
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.
Contents
G. Berczi, B. Doran, and F. Kirwan, Graded linearisations
A. Daemi and K. Fukaya, Atiyah-Floer conjecture: A formulation, a strategy of proof and generalizations
Y. Eliashberg, Weinstein manifolds revisited
N. Hitchin, Remarks on Nahm's equations
D. Joyce, Conjectures on counting associative 3-folds in $G_2$-manifolds
J. Li, Toward an algebraic Donaldson-Floer theory
H. Nakajima, Introduction to a provisional mathematical definition of Coulomb branches of 3-dimesional $\mathcal{N}=4$
P. Ozsvath and Z. Szabo, An overview of knot Floer homology
R. Pandharipande, Descendants for stable pairs on 3-folds
J. Ross and D. Witt Nystrom, The Dirichlet problem for the complex homogeneous Monge-Ampere equation
G. Szekelyhidi, Kahler-Einstein metrics
A. Teleman, Donaldson theory in non-Kahlerian geometry
E. Witten, Two lectures on gauge theory and Khovanov homology.
