## 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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UNIVERSITY OF AARHUS 90%HARVARD UNIVERSITY 90%INSTITUTE FOR ADVANCED STUDY 90%HARVARD UNIVERSITY (SCH OF PUBLIC HLTH) 90%HARVARD UNIVERSITY (MEDICAL SCHOOL) 90%Institute for Advanced Study ( IAS ) United StatesWebsite url: https://www.ias.edu/90%Harvard University ( Harvard University ) United StatesWebsite url: http://www.harvard.edu/90%Aspen Center For Physics ( ACP ) United StatesWebsite url: http://www.aspenphys.org/90%Harvard University 90%Institute for Advanced Study 90% - Metrics

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