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A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture
Language: en
Pages: 174
Authors: Francesco Lin
Categories: Mathematics
Type: BOOK - Published: 2018-10-03 - Publisher: American Mathematical Soc.

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In the present work the author generalizes the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bo
Monopoles and Pin(2)-symmetry
Language: en
Pages: 326
Authors: Francesco Lin (Ph. D.)
Categories:
Type: BOOK - Published: 2016 - Publisher:

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In this thesis we generalize the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singulariti
Breadth in Contemporary Topology
Language: en
Pages: 282
Authors: David T. Gay
Categories: Algebraic topology -- Homotopy theory -- Loop space machines, operads
Type: BOOK - Published: 2019-06-27 - Publisher: American Mathematical Soc.

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This volume contains the proceedings of the 2017 Georgia International Topology Conference, held from May 22–June 2, 2017, at the University of Georgia, Athen
An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants
Language: en
Pages: 228
Authors: Paul Feehan
Categories: Cobordism theory
Type: BOOK - Published: 2019-01-08 - Publisher: American Mathematical Soc.

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The authors prove an analogue of the Kotschick–Morgan Conjecture in the context of monopoles, obtaining a formula relating the Donaldson and Seiberg–Witten
Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane
Language: en
Pages: 78
Authors: William Goldman
Categories: Automorphisms
Type: BOOK - Published: 2019-06-10 - Publisher: American Mathematical Soc.

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The automorphisms of a two-generator free group F acting on the space of orientation-preserving isometric actions of F on hyperbolic 3-space defines a dynamical