Mathematics – Geometric Topology
Scientific paper
2011-05-26
Mathematics
Geometric Topology
52 pages, 17 figures
Scientific paper
We iterate Manolescu's unoriented skein exact triangle in knot Floer homology with coefficients in the fraction field of the group ring (Z/2Z)[Z]. The result is a spectral sequence which converges to a stabilized version of delta-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.
Baldwin John A.
Levine Adam Simon
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