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Morse-Bott approach to monopole Floer homology and the Triangulation conjecture

Author: Francesco Lin; American Mathematical Society,
Publisher: Providence, Rhode Island : American Mathematical Society, [2018] ©2018
Series: Memoirs of the American Mathematical Society, no. 1221.
Edition/Format:   eBook : Document : 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 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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Genre/Form: Electronic books
Additional Physical Format: Print version:
LIN, FRANCESCO.
MORSE-BOTT APPROACH TO MONOPOLE FLOER HOMOLOGY AND THE TRIANGULATION CONJECTURE.
[S.l.] : AMER MATHEMATICAL SOCIETY, 2018
(OCoLC)1039616508
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Francesco Lin; American Mathematical Society,
ISBN: 147044819X 9781470448196
OCLC Number: 1042567976
Notes: "September 2018, volume 255, number 1221 (fourth of 7 numbers)"
Description: 1 online resource (v, 162 pages)
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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