A functor-valued invariant of tangles
Skip to main content
eScholarship
Open Access Publications from the University of California

A functor-valued invariant of tangles

  • Author(s): Khovanov, Mikhail
  • et al.

Published Web Location

https://arxiv.org/pdf/math/0103190.pdf
No data is associated with this publication.
Abstract

We construct a family of rings. To a plane diagram of a tangle we associate a complex of bimodules over these rings. Chain homotopy equivalence class of this complex is an invariant of the tangle. On the level of Grothendieck groups this invariant descends to the Kauffman bracket of the tangle. When the tangle is a link, the invariant specializes to the bigraded cohomology theory introduced in our earlier work.

Item not freely available? Link broken?
Report a problem accessing this item