Publication:

Grid diagrams and Khovanov homology

Date

Date

Date
2009
Journal Article
Published version

Citations

Citation copied

Droz, J.-M., & Wagner, E. (2009). Grid diagrams and Khovanov homology. Algebraic & Geometric Topology, 9(3), 1275–1297. https://doi.org/10.2140/agt.2009.9.1275

Abstract

Abstract

Abstract

We explain how to compute the Jones polynomial of a link from one of its grid diagrams and we observe a connection between Bigelow’s homological definition of the Jones polynomial and Kauffman’s definition of the Jones polynomial. Consequently, we prove that the Maslov grading on the Seidel–Smith symplectic link invariant coincides with the difference between the homological grading on Khovanov homology and the Jones grading on Khovanov homology. We give some evidence for the truth of the Seidel–Smith conjecture.

Metrics

Citations

4 in Web of Science Acq. date: 2025-10-15

Additional indexing

Creators (Authors)

  • Droz, J-M
    affiliation.icon.alt
  • Wagner, E
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
9

Number

Number

Number
3

Page Range

Page Range

Page Range
1275

Page end

Page end

Page end
1297

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Jones polynomial, Khovanov homology, Seidel–Smith conjecture

Language

Language

Language
English

Publication date

Publication date

Publication date
2009

Date available

Date available

Date available
2010-04-14

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
1472-2739

OA Status

OA Status

OA Status
Hybrid

Metrics

Citations

4 in Web of Science Acq. date: 2025-10-15

Citations

Citation copied

Droz, J.-M., & Wagner, E. (2009). Grid diagrams and Khovanov homology. Algebraic & Geometric Topology, 9(3), 1275–1297. https://doi.org/10.2140/agt.2009.9.1275

Hybrid Open Access
Loading...
Thumbnail Image

Files

Files

Files
Files available to download:1

Files

Files

Files
Files available to download:1
Loading...
Thumbnail Image