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Lattice cohomology and q-series invariants of plumbed 3-manifolds

Algebra & Discrete Mathematics

Speaker: Slava Krushkal, University of Virginia
Related Webpage: https://uva.theopenscholar.com/slava-krushkal/
Location: zoom zoom
Start time: Mon, Apr 11 2022, 11:00AM

I will introduce a combinatorially defined invariant of negative definite plumbed 3-manifolds, equipped with a spin-c structure. Its relation will be discussed to two theories with rather different origins and structures, lattice cohomology and certain q-series defined by Gukov-Pei-Putrov-Vafa which are conjectured to recover quantum invariants of 3-manifolds at roots of unity. (Joint work with R. Akhmechet and P. Johnson)