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Larry Gu, University of Southern California, Decategorification of HFK_n(L)

September 22, 2021 | 2:00 pm - 3:00 pm EDT

Using a definition of Euler characteristic for fractionally-graded complexes based on roots of unity, we show that the Euler characteristics of Dowlin’s “sl(n)-like” Heegaard Floer knot invariants HFK_n recover both Alexander polynomial evaluations and sl(n) polynomial evaluations at certain roots of unity for links in S^3. We show that the equality of these evaluations can be viewed as the decategorified content of the conjectured spectral sequences relating sl(n) homology and HFK_n. This is joint work with Professor Andy Manion.

 

 

Zoom invitation is sent to the geometry and topology seminar list. If you are not on the list, please, contact Peter McGrath host to get the link.

Details

Date:
September 22, 2021
Time:
2:00 pm - 3:00 pm EDT
Event Category:

Venue

Zoom