Bordered knot algebras with matchings

Peter S. Ozsváth; Zoltán Szabó

doi:10.4171/QT/127

Bordered knot algebras with matchings

Peter S. Ozsváth, Zoltán Szabó

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

This paper generalizes the bordered-algebraic knot invariant introduced in an earlier paper, giving an invariant now with more algebraic structure. It also introduces signs to define these invariants with integral coefficients. We describe effective computations of the resulting invariant.

Original language	English (US)
Pages (from-to)	481-592
Number of pages	112
Journal	Quantum Topology
Volume	10
Issue number	3
DOIs	https://doi.org/10.4171/QT/127
State	Published - 2019

All Science Journal Classification (ASJC) codes

Mathematical Physics
Geometry and Topology

Keywords

Floer homology
Knots

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10.4171/QT/127

Cite this

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title = "Bordered knot algebras with matchings",

abstract = "This paper generalizes the bordered-algebraic knot invariant introduced in an earlier paper, giving an invariant now with more algebraic structure. It also introduces signs to define these invariants with integral coefficients. We describe effective computations of the resulting invariant.",

keywords = "Floer homology, Knots",

author = "Ozsv{\'a}th, {Peter S.} and Zolt{\'a}n Szab{\'o}",

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year = "2019",

doi = "10.4171/QT/127",

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pages = "481--592",

journal = "Quantum Topology",

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AU - Ozsváth, Peter S.

AU - Szabó, Zoltán

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2019

Y1 - 2019

N2 - This paper generalizes the bordered-algebraic knot invariant introduced in an earlier paper, giving an invariant now with more algebraic structure. It also introduces signs to define these invariants with integral coefficients. We describe effective computations of the resulting invariant.

AB - This paper generalizes the bordered-algebraic knot invariant introduced in an earlier paper, giving an invariant now with more algebraic structure. It also introduces signs to define these invariants with integral coefficients. We describe effective computations of the resulting invariant.

KW - Floer homology

KW - Knots

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M3 - Article

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JF - Quantum Topology

IS - 3

ER -

Bordered knot algebras with matchings

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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