Topological Quantum Field Theory Seminar   RSS

05/06/2006, 15:30 — 16:30 — Room P3.10, Mathematics Building
Marko Stosic, Instituto Superior Técnico

Khovanov homology of torus knots

In this talk we show that the torus knots Tp,q for 3pq are homologically thick. Furthermore, we show that we can reduce the number of twists q without changing a certain part of the homology, and consequently we show that there exists a stable homology for torus knots conjectured in [1]. Also, we calculate the Khovanov homology groups of low homological degree for torus knots, and we conjecture that the homological width of the torus knot Tp,q is at least p.
[1] N. Dunfield, S. Gukov and J. Rasmussen: The Superpolynomial for link homologies, arXiv:math.GT/0505056.
[2] M. Stosic: Homological thickness of torus knots, arXiv:math.GT/0511532

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Current organizers: José MourãoRoger Picken, Marko Stošić


FCT Projects PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry, PTDC/MAT-PUR/31089/2017, Higher Structures and Applications.