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Floer Homology, Gauge Theory, and Low-Dimensional Topology
Language: en
Pages: 318
Authors: Clay Mathematics Institute. Summer School
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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Mathematical gauge theory studies connections on principal bundles, or, more precisely, the solution spaces of certain partial differential equations for such c
Floer Homology Groups in Yang-Mills Theory
Language: en
Pages: 254
Authors: S. K. Donaldson
Categories: Mathematics
Type: BOOK - Published: 2002-01-10 - Publisher: Cambridge University Press

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The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as
Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces
Language: en
Pages: 277
Authors: S. K. Donaldson
Categories: Mathematics
Type: BOOK - Published: 1990 - Publisher: Cambridge University Press

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Distinguished researchers reveal the way different subjects (topology, differential and algebraic geometry and mathematical physics) interact in a text based on
Bordered Heegaard Floer Homology
Language: en
Pages: 294
Authors: Robert Lipshitz
Categories: Mathematics
Type: BOOK - Published: 2018-08-09 - Publisher: American Mathematical Soc.

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The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a different
Invariants of Homology 3-Spheres
Language: en
Pages: 229
Authors: Nikolai Saveliev
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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The book gives a systematic exposition of the diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum fie