| Electronic ISBN: | 978-1-4704-4819-6 |
| Product Code: | MEMO/255/1221.E |
| List Price: | $78.00 |
| MAA Member Price: | $70.20 |
| AMS Member Price: | $46.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 255; 2018; 162 ppMSC: Primary 57;
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 Seiberg-Witten-Floer homology. In particular, the author provides an alternative approach to his disproof of the celebrated Triangulation conjecture.
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Table of Contents
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Chapters
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1. Introduction
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2. Basic setup
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3. The analysis of Morse-Bott singularities
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4. Floer homology for Morse-Bott singularities
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5. $\mathrm {Pin}(2)$-monopole Floer homology
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Additional Material
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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 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.
-
Chapters
-
1. Introduction
-
2. Basic setup
-
3. The analysis of Morse-Bott singularities
-
4. Floer homology for Morse-Bott singularities
-
5. $\mathrm {Pin}(2)$-monopole Floer homology
