81 citations · 287 across the 28 of their papers we have counts for
7 papers · 1 filter
A formula to evaluate type A webs and link polynomials
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
We give a closed formula to evaluate exterior webs (also called MOY webs) and the associated Reshetikhin-Turaev link polynomials.
The reduced HOMFLY-PT homology for the Conway and the Kinoshita-Terasaka knots
Marco Mackaay, Pedro Vaz
In this paper we compute the reduced HOMFLY-PT homologies of the Conway and the Kinoshita-Terasaka knots and show that they are isomorphic.
A categorification of the quantum sl(N)-link polynomials using foams
Pedro Vaz
In this thesis we define and study a categorification of the sl(N)-link polynomial using foams, for N\geq 3. For N=3 we define the universal sl(3)-link homology, using foams, which…
The foam and the matrix factorization sl3 link homologies are equivalent
Marco Mackaay, Pedro Vaz
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…
Sl(N) link homology using foams and the Kapustin-Li formula
Marco Mackaay, Marko Stosic, Pedro Vaz
We use foams to give a topological construction of a rational link homology categorifying the slN link invariant, for N>3. To evaluate closed foams we use the Kapustin-Li formula a…
The universal sl3-link homology
Marco Mackaay, Pedro Vaz
We define the universal sl3-link homology, which depends on 3 parameters, following Khovanov's approach with foams. We show that this 3-parameter link homology, when taken with com…