A Morse-Bott approach to monopole Floer homology and the triangulation conjecture
著者
書誌事項
A Morse-Bott approach to monopole Floer homology and the triangulation conjecture
（Memoirs of the American Mathematical Society, no. 1221）
American Mathematical Society, 2018
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注記
"September 2018, volume 255, number 1221 (fourth of 7 numbers)"
Includes bibliographical references (p. 161-162)
内容説明・目次
内容説明
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.
目次
Introduction
Basic setup
The analysis of Morse-Bott singularities
Floer homology for Morse-Bott singularities
Pin(2)-monopole Floer homology
Bibliography
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