HOMFLY-PT HOMOLOGY OF COXETER LINKS

A Coxeter link is a closure of a product of two braids, one being a quasi-Coxeter element and the other being a product of partial full twists. This class of links includes torus knots T n, k and torus links T n, nk . We identify the knot homology of a Coxeter link with the space of sections of a pa...

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Bibliographic Details
Published in:Transformation groups 2023-09, Vol.28 (3), p.1245-1275
Main Authors: OBLOMKOV, A., ROZANSKY, L.
Format: Article
Language:English
Subjects:
Algebra
Homology
Knots
Lie Groups
Links
Mathematics
Mathematics and Statistics
Topological Groups
Toruses
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Summary:A Coxeter link is a closure of a product of two braids, one being a quasi-Coxeter element and the other being a product of partial full twists. This class of links includes torus knots T n, k and torus links T n, nk . We identify the knot homology of a Coxeter link with the space of sections of a particular line bundle on a natural generalization of the punctual locus inside the flag Hilbert scheme of points in ℂ 2 .
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-023-09816-1