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math.GTFeb 24, 2005
15
citations (OpenAlex)
authors
  • Jacob Rasmussen
arXiv abstractPDF
paper

Khovanov's invariant for closed surfaces

arXiv:math/0502527

Abstract

We compute the Khovanov-Jacobsson number of an embedded torus in R^4. The answer is always 2, regardless of the embedding.

7 pages, 2 figures

References in corpus (3)

  • Khovanov's homology for tangles and cobordisms
  • Khovanov homology and the slice genus
  • An invariant of tangle cobordisms

Cited by in corpus (10)

  • Khovanov's homology for tangles and cobordisms
  • The Blanchet-Khovanov algebras
  • Integral presentations of quantum lattice Heisenberg algebras
  • The universal sl(2) cohomology via webs and foams
  • The link concordance invariant from Lee homology
  • Fixing the functoriality of Khovanov homology: a simple approach
  • Relative Khovanov-Jacobsson classes
  • Divisibility of Lee's class and its relation with Rasmussen's invariant
  • A mixed invariant of non-orientable surfaces in equivariant Khovanov homology
  • Homotopy functoriality for Khovanov spectra
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