Publications [#328062] of Adam S. Levine

Papers Published

1. Baldwin, JA; Levine, AS, A combinatorial spanning tree model for knot Floer homology, Advances in Mathematics, vol. 231 no. 3-4 (October, 2012), pp. 1886-1939, Elsevier BV [doi]
   (last updated on 2026/02/08)

   Abstract:
   We iterate Manolescu's unoriented skein exact triangle in knot Floer homology with coefficients in the field of rational functions over Z/2Z. The result is a spectral sequence which converges to a stabilized version of δ-graded knot Floer homology. The (E 2, d 2) page of this spectral sequence is an algorithmically computable chain complex expressed in terms of spanning trees, and we show that there are no higher differentials. This gives the first combinatorial spanning tree model for knot Floer homology. © 2012 Elsevier Ltd.