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Abstract
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We compute different versions of link Floer homology
and
for any
-space
link with two components. The main approach is to compute the
-function of
the filtered chain complex which is determined by Alexander polynomials of all sublinks of
the
-space
link. As an application, the Thurston norm of its complement is explicitly determined
by Alexander polynomials of the link and its components.
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Keywords
$L$-space links, link Floer homology, Thurston polytopes
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Mathematical Subject Classification 2010
Primary: 57M99
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Milestones
Received: 9 May 2017
Revised: 9 February 2018
Accepted: 23 March 2018
Published: 2 February 2019
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