@article{0de75b5ee0c348c794b8edb881523142,
title = "A morse-bott approach to monopole floer homology and the triangulation conjecture",
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.",
author = "Francesco Lin",
note = "Funding Information: Acknowledgments. The author would sincerely like to thank his advisor Tom Mrowka for introducing him to the subject, for suggesting the present problem, and for his patient help and support throughout the development of the project. Without his guidance and expertise this work would not have been possible at all. The author would also like to express his gratitude to Jonathan Bloom, especially for the interesting discussions related to the content of Chapter 3. Finally, he would like to thank Michael Andrews, Lucas Culler, Michael Hutchings, Ciprian Manolescu, Roberto Svaldi and Umut Varolgunes for the useful conversations. This work was partially funded by NSF grants DMS-0805841 and DMS-1005288. Publisher Copyright: {\textcopyright} 2018 American Mathematical Society.",
year = "2018",
month = sep,
doi = "10.1090/memo/1221",
language = "English (US)",
volume = "255",
pages = "1--174",
journal = "Memoirs of the American Mathematical Society",
issn = "0065-9266",
publisher = "American Mathematical Society",
number = "1221",
}