A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture

Released on by Francesco Lin
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  • A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture Book Detail

  • Author : Francesco Lin
  • Release Date : 2018-10-03
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 174
  • ISBN 13 : 1470429632
  • File Size : 90,90 MB
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A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture by Francesco Lin PDF Summary

Book Description: 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 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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