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A meromorphic extension of the 3D index

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Stavros Garoufalidis
Georgia Institute of Technology, Atlanta
Mon, 2017-05-22 14:00 - 14:50
MPIM Lecture Hall

The 3D-index of Dimofte-Gaiotto-Gukov is a collection of q-series with integer coefficients which is defined for 1-efficient ideal triangulations, and gives topological invariants of hyperbolic manifolds, in particular counts the number of genus 2 incompressible and Heegaard surfaces. We give an extension of the 3Dindex to a meromorphic function defined for all ideal triangulations, and invariant under all Pachner moves. Joint work with Rinat Kashaev.

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