Work

Odd Khovanov homology

Year: 2013

Type: article

Abstract: We describe an invariant of links in S 3 which is closely related to Khovanov's Jones polynomial homology.Our construction replaces the symmetric algebra appearing in Khovanov's definition with an exterior algebra.The two invariants have the same reduction modulo 2, but differ over Q.There is a reduced version which is a link invariant whose graded Euler characteristic is the normalized Jones polynomial.

Source: Algebraic & Geometric Topology

DOI: 10.2140/agt.2013.13.1465

Authors: Peter S Ozsváth, Jacob Rasmussen, Zoltán Szabó

Institutions: Massachusetts Institute of Technology, University of Cambridge, Princeton University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Science Foundation

Awards: Homological Invariants of Knots and Three-Manifolds, Heegaard Floer homology and Low Dimensional Topology, Heegaard Diagrams and Holomorphic Disks, FRG: Holomorphic Curves in Low Dimensional Topology, Low Dimensional Topology and Heegaard Floer homology