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arXiv:2002.09390 [math.GT]AbstractReferencesReviewsResources

Coloured Jones and Alexander polynomials as topological intersections of cycles in configuration spaces

Cristina Ana-Maria Anghel

Published 2020-02-21Version 1

Coloured Jones and Alexander polynomials are sequences of quantum invariants recovering the Jones and Alexander polynomials at the first terms. We show that they can be seen conceptually in the same manner, using topological tools, as intersection pairings in covering spaces between explicit homology classes given by Lagrangian submanifolds.

Comments: 21 pages, Comments welcome
Categories: math.GT, math.QA, math.RT, math.SG
Subjects: 57M25, 57M27, 20F36, 16T05, 16T25
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