Eaman Eftekhary

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math.GT2025

Skein exact triangles in knot Floer homology

Eaman Eftekhary

We construct a new family of skein exact triangles for link Floer homology. The skein triples are described by a triple of rational tangles $(R_{0}, R_{1}, R_{2 n + 1})$ , where $R_{0}$ is the…

math.GT2024

Tangle replacements and knot Floer homology torsions

Eaman Eftekhary

We show that the torsion order $Ord (K)$ of a knot $K$ in knot Floer homology gives a lower bound on the minimum number $n$ such that an oriented $(n + 1)$ -tangle replacement…

math.GT2024

A Heegaard-Floer TQFT for link cobordisms

Eaman Eftekhary

We introduce a Heegaard-Floer homology functor from the category of oriented links in closed $3$ -manifolds and oriented surface cobordisms in $4$ -manifolds connecting them to the c…