Abstract
Using a definition of Euler characteristic for fractionally-graded complexes based on roots of unity, we show that the Euler characteristics of Dowlin’s “-like” Heegaard Floer knot invariants recover both Alexander polynomial evaluations and polynomial evaluations at certain roots of unity for links in . We show that the equality of these evaluations can be viewed as the decategorified content of the conjectured spectral sequences relating homology and .
Citation
Larry Gu. Andrew Manion. "Evaluations of Link Polynomials and Recent Constructions in Heegaard Floer Theory." Michigan Math. J. 73 (5) 1097 - 1118, November 2023. https://doi.org/10.1307/mmj/20216061
Information
