The foam and the matrix factorization sl3 link homologies are equivalent

Authors:
  • MMMarco Mackaay
    Marco Mackaay
  • PVPedro Vaz
    Pedro Vaz

Abstract
We prove that the foam and matrix factorization universal rational sl3 link homologies are naturally isomorphic as projective functors from the category of link and link cobordisms to the category of bigraded vector spaces.