3D TQFT and HOMFLYPT homology

3D TQFT and HOMFLYPT homology

We describe a family of 3d topological B-models whose target spaces are Hilbert schemes of points in C 2 . The interfaces separating theories with different numbers of points correspond to braid strands. The Hilbert space of the picture of a closed braid is the HOMFLY-PT homology of the correspondin...

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Veröffentlicht in:Letters in mathematical physics 2023-06, Vol.113 (3), Article 71
Hauptverfasser: Oblomkov, A., Rozansky, L.
Format: Artikel
Sprache:eng
Schlagworte:
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:We describe a family of 3d topological B-models whose target spaces are Hilbert schemes of points in C 2 . The interfaces separating theories with different numbers of points correspond to braid strands. The Hilbert space of the picture of a closed braid is the HOMFLY-PT homology of the corresponding link.
ISSN:1573-0530
1573-0530
DOI:10.1007/s11005-023-01684-w