Singular link Floer homology

Details Singular link Floer homology Singular link Floer homology

2007-05-16

arxiv.org/abs/0705.2377v5

Algebr. Geom. Topol. 9 (2009) 495-535

Mathematics

Geometric Topology

29 pages, many figures, published in Algebraic & Geometric Topology

Scientific paper

10.2140/agt.2009.9.495

We define a grid presentation for singular links i.e. links with a finite
number of rigid transverse double points. Then we use it to generalize link
Floer homology to singular links. Besides the consistency of its definition, we
prove that this homology is acyclic under some conditions which naturally make
its Euler characteristic vanish.

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