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

Francesco Lin (Autor)

Buch | Softcover

162 Seiten

2018
American Mathematical Society (Verlag)
978-1-4704-2963-8 (ISBN)

Infos

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 recent Pin(2)-equivariant Seiberg-Witten-Floer homology.

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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 ${/rm spin}^c$ 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.

Autor

Francesco Lin, Massachusetts Institute of Technology, Cambridge, MA.

Inhalt

Introduction
Basic setup
The analysis of Morse-Bott singularities
Floer homology for Morse-Bott singularities
Pin(2)-monopole Floer homology
Bibliography

Produkt-Details

• Erscheinungsdatum: 26.10.2018
• Reihe/Serie: Memoirs of the American Mathematical Society
• Verlagsort: Providence
• Sprache: englisch
• Maße: 178 x 254 mm
• Gewicht: 260 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• ISBN-10: 1-4704-2963-2 / 1470429632
• ISBN-13: 978-1-4704-2963-8 / 9781470429638
• Zustand: Neuware