A cube of resolutions for knot Floer homology

Peter Ozsváth; Zoltán Szabó

doi:10.1112/jtopol/jtp032

A cube of resolutions for knot Floer homology

Peter Ozsváth, Zoltán Szabó

Mathematics

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

23 Scopus citations

Abstract

We develop a skein exact sequence for knot Floer homology, involving singular knots. This leads to an explicit, algebraic description of knot Floer homology in terms of a braid projection of the knot.

Original language	English (US)
Pages (from-to)	865-910
Number of pages	46
Journal	Journal of Topology
Volume	2
Issue number	4
DOIs	https://doi.org/10.1112/jtopol/jtp032
State	Published - 2009

All Science Journal Classification (ASJC) codes

Geometry and Topology

Access to Document

10.1112/jtopol/jtp032

Cite this

@article{f628d49d8ebf48c4bb969681652181d2,

title = "A cube of resolutions for knot Floer homology",

abstract = "We develop a skein exact sequence for knot Floer homology, involving singular knots. This leads to an explicit, algebraic description of knot Floer homology in terms of a braid projection of the knot.",

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

note = "Publisher Copyright: {\textcopyright} 2009 London Mathematical Society.",

year = "2009",

doi = "10.1112/jtopol/jtp032",

language = "English (US)",

volume = "2",

pages = "865--910",

journal = "Journal of Topology",

issn = "1753-8416",

publisher = "John Wiley and Sons Ltd",

number = "4",

}

TY - JOUR

T1 - A cube of resolutions for knot Floer homology

AU - Ozsváth, Peter

AU - Szabó, Zoltán

PY - 2009

Y1 - 2009

N2 - We develop a skein exact sequence for knot Floer homology, involving singular knots. This leads to an explicit, algebraic description of knot Floer homology in terms of a braid projection of the knot.

AB - We develop a skein exact sequence for knot Floer homology, involving singular knots. This leads to an explicit, algebraic description of knot Floer homology in terms of a braid projection of the knot.

UR - http://www.scopus.com/inward/record.url?scp=79957704275&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79957704275&partnerID=8YFLogxK

U2 - 10.1112/jtopol/jtp032

DO - 10.1112/jtopol/jtp032

M3 - Article

AN - SCOPUS:79957704275

SN - 1753-8416

VL - 2

SP - 865

EP - 910

JO - Journal of Topology

JF - Journal of Topology

IS - 4

ER -

A cube of resolutions for knot Floer homology

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this