University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Floer homology and the triangulation conjecture

Floer homology and the triangulation conjecture

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  • UserCiprian Manolescu, UCLA
  • ClockFriday 31 May 2013, 14:00-15:00
  • HouseMR13.

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We define Pin(2)-equivariant Seiberg-Witten Floer homology for rational homology 3-spheres equipped with a spin structure. The analogue of Froyshov’’s correction term in this setting is an integer-valued invariant of homology cobordism whose mod 2 reduction is the Rokhlin invariant. As an application, we show that the 3-dimensional homology cobordism group has no elements of order 2 that have Rokhlin invariant one. By previous work of Galewski-Stern and Matumoto, this implies the existence of non-triangulable high-dimensional manifolds.

This talk is part of the Differential Geometry and Topology Seminar series.

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