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Record Nr. |
UNINA9910478891803321 |
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Autore |
Lin Francesco <1988-> |
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Titolo |
A Morse-Bott approach to monopole Floer homology and the triangulation conjecture / / Francesco Lin |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2018] |
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©2018 |
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ISBN |
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Descrizione fisica |
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1 online resource (174 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; Volume 255, Number 1221 |
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Disciplina |
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Soggetti |
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Triangulation |
Manifolds (Mathematics) |
Floer homology |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Basic setup -- 2.1. The monopole equations -- 2.2. Blowing up the configuration spaces -- 2.3. Completion and slices -- 2.4. Perturbations -- Chapter 3. The analysis of Morse-Bott singularities -- 3.1. Hessians and Morse-Bott singularities -- 3.2. Moduli spaces of trajectories -- 3.3. Transversality -- 3.4. Compactness and finiteness -- 3.5. Gluing -- 3.6. The moduli space on a cobordism -- Chapter 4. Floer homology for Morse-Bott singularities -- 4.1. Homology of smooth manifolds via stratified spaces -- 4.2. Floer homology -- 4.3. Invariance and functoriality -- Chapter 5. \Pin-monopole Floer homology -- 5.1. An involution in the theory -- 5.2. Equivariant perturbations and Morse-Bott transversality -- 5.3. Invariant chains and Floer homology -- 5.4. Some computations -- 5.5. Manolescu's invariant and the Triangulation conjecture -- Bibliography -- Back Cover. |
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Sommario/riassunto |
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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-Bott singularities. Focusing then on the |
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