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[null,"1.","Record Nr.",null,"UNINA9910478891803321"]
[null,null,"Autore",null,"Lin Francesco <1988->"]
[null,null,"Titolo",null,"A Morse-Bott approach to monopole Floer homology and the triangulation conjecture / / Francesco Lin"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2018]"]
[{"$nulls":4},"©2018"]
[null,null,"ISBN",null,"1-4704-4819-X"]
[null,null,"Descrizione fisica",null,"1 online resource (174 pages)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society ; ; Volume 255, Number 1221"]
[null,null,"Disciplina",null,"514/.34"]
[null,null,"Soggetti",null,"Triangulation"]
[{"$nulls":4},"Manifolds (Mathematics)"]
[{"$nulls":4},"Floer homology"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","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 special case of a three-manifold equipped equipped with a {\\rm spin}^c structure which is isomorphic to its conjugate, the author defines the counterpart in this context of Manolescu's recent Pin(2)-equivariant "]
[{"$nulls":4},"Seiberg-Witten-Floer homology. In particular, the author provides an alternative approach to his disproof of the celebrated Triangulation conjecture."]