Some properties of Pin(2)-monopole Floer homology

Some properties of Pin(2)-monopole Floer homology

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Francesco Lin , MIT
Fine Hall 314

In this talk I will discuss the basic properties and examples of Pin(2)-monopole Floer homology (including some simple computational tools). This is the Morse-theoretic analogue of Manolescu's Pin(2)-equivariant Seiberg-Witten-Floer homology, and it can be used to provide an alternative disproof of the longstanding Triangulation Conjecture.