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Combinatorial and Gauge theoretical methods in low dimensional topology and geometry

3D index and Dehn surgeries

speaker: Daniele Celoria (University of Queensland)

abstract: The 3D index is an invariant for cusped 3-manifolds introduced by Dimofte-Gaiotto-Gukov in 2011, which seems to contain a lot of information about the topology and geometry of the manifold. After a brief introduction, I'll describe our q-hypergeometric approach to study the behaviour of this invariant under Dehn filling. This is joint work with C. Hodgson and H. Rubinstein.

timetable:
Thu 6 Jun, 14:00 - 15:00, Aula Dini
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