A morse-bott approach to monopole floer homology and the triangulation conjecture

Francesco Lin

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

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 spinc structure which is isomorphic to its conjugate, we define the counterpart in this context of Manolescu's recent Pin(2)-equivariant Seiberg-Witten-Floer homology. In particular, we provide an alternative approach to his disproof of the celebrated Triangulation conjecture.

Original languageEnglish (US)
Pages (from-to)1-174
Number of pages174
JournalMemoirs of the American Mathematical Society
Volume255
Issue number1221
DOIs
StatePublished - Sep 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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