Geodesic
Moving basepoints and the induced automorphisms of link Floer homology
Sarkar, Sucharit1
1Department of Mathematics, Princeton University, Fine Hall, Washington Rd, Princeton, NJ 08544, USA
Algebraic and Geometric Topology, Tome 15 (2015) no. 5, pp. 2479-2515
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Given an l–component pointed oriented link (L,p) in an oriented three-manifold Y , one can construct its link Floer chain complex CFL(Y,L,p) over the polynomial ring F2[U1,…,Ul]. Moving the basepoint pi ∈ Li once around the link component Li induces an automorphism of CFL(Y,L,p). We study a (possibly different) automorphism of CFL(Y,L,p) defined explicitly in terms of holomorphic disks; for links in S3, we show that these two automorphisms are the same.

DOI : 10.2140/agt.2015.15.2479
Classification : 57M25, 57M27, 57R58
Keywords: link Floer homology, basepoint, mapping class group action, grid diagram

Sarkar, Sucharit  1

1 Department of Mathematics, Princeton University, Fine Hall, Washington Rd, Princeton, NJ 08544, USA 
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Sarkar, Sucharit. Moving basepoints and the induced automorphisms of link Floer homology. Algebraic and Geometric Topology, Tome 15 (2015) no. 5, pp. 2479-2515. doi: 10.2140/agt.2015.15.2479

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