000			03290nam a22004453i 4500
001			EBC5571103
003			MiAaPQ
005			20240724113422.0
006			m o d |
007			cr cnu||||||||
008			240724s2018 xx o ||||0 eng d
020			_a9781470448196 _q(electronic bk.)
020			_z9781470429638
035			_a(MiAaPQ)EBC5571103
035			_a(Au-PeEL)EBL5571103
035			_a(OCoLC)1042567976
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQB311 .L56 2018
082	0		_a526.32
100	1		_aLin, Francesco.
245	1	2	_aA Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2018.
264		4	_c©2018.
300			_a1 online resource (174 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society Series ; _vv.255
505	0		_aCover -- 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.
520			_aIn 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 Seiberg-Witten-Floer homology. In particular, the author provides an alternative approach to his disproof of the celebrated Triangulation conjecture.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aTriangulation.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aLin, Francesco _tA Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture _dProvidence : American Mathematical Society,c2018 _z9781470429638
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5571103 _zClick to View
999			_c6263 _d6263