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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
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
The Floer Memorial Volume
Language: en
Pages: 688
Authors: Helmut Hofer
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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Andreas Floer died on May 15, 1991 an untimely and tragic death. His visions and far-reaching contributions have significantly influenced the developments of ma
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
Uhlenbeck Compactness
Language: en
Pages: 228
Authors: Katrin Wehrheim
Categories: Compact groups
Type: BOOK - Published: 2004 - Publisher: European Mathematical Society

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This book gives a detailed account of the analytic foundations of gauge theory, namely, Uhlenbeck's compactness theorems for general connections and for Yang-Mi