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A Morse-Bott approach to monopole Floer homology and the triangulation conjecture

Author: Francesco Lin
Publisher: Providence, RI : American Mathematical Society, 2018. ©2018
Series: Memoirs of the American Mathematical Society, no. 1221.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"In the present work we generalize 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 with a spin[superscript]c structure which is isomorphic to its conjugate, we define the counterpart in this context of Manolescu's recent Pin(2)-equivariant Seiberg-Witten-Floer  Read more...
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Document Type: Book
All Authors / Contributors: Francesco Lin
ISBN: 9781470429638 1470429632
OCLC Number: 1039616508
Notes: "September 2018. Volume 255. Number 1221 (fourth of 7 numbers)."
Description: v, 162 pages ; 26 cm.
Contents: Introduction --
Basic setup --
The analysis of Morse-Bott singularities --
Floer homology for Morse-Bott singularities --
Pin(2)-monopole Floer homology.
Series Title: Memoirs of the American Mathematical Society, no. 1221.
Responsibility: Francesco Lin.

Abstract:

Generalizes the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singularities. The author defines the counterpart of Manolescu's  Read more...

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