## BPS spectra and 3-manifold invariants

*Gukov, Sergei*;

*Pei, Du*;

*Putrov, Pavel*;

*Vafa, Cumrun*;

- Subject: Mathematical Physics | High Energy Physics - Theory | Mathematics - Quantum Algebra | Mathematics - Geometric Topology

We provide a physical definition of new homological invariants $\mathcal{H}_a (M_3)$ of 3-manifolds (possibly, with knots) labeled by abelian flat connections. The physical system in question involves a 6d fivebrane theory on $M_3$ times a 2-disk, $D^2$, whose Hilbert s... View more

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School of Natural Sciences Institute for Advanced Study United States90%Institute for Advanced Study 90%HARVARD UNIVERSITY (MEDICAL SCHOOL) 90%IAS ( IAS ) United StatesWebsite url: https://www.ias.edu/90%UNIVERSITY OF AARHUS 90%HARVARD UNIVERSITY (SCH OF PUBLIC HLTH) 90%INSTITUTE FOR ADVANCED STUDY 90%HARVARD UNIVERSITY 90%Harvard University - Harvard-Smithsonian Center for Astrophysics ( CfA ) United StatesWebsite url: https://www.cfa.harvard.edu/90%California Institute of Technology ( CIT ) United StatesWebsite url: http://www.caltech.edu/90% - Metrics

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