2-Verma modules and Khovanov-Rozansky link homologies
(2021) Mathematische Zeitschrift — Vol. 1, p. 1-32 (2020)
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- Abstract
- For a particular choice of parabolic subalgebra of gl(2n) we construct a parabolic 2-Verma module and use it to give a construction of Khovanov-Rozansky’s HOMFLY-PT and glN link homologies. We use our version of these homologies to prove that Rasmussen’s spectral sequence from the HOMFLY-PT-link homology to the gl(N) -link homology converges at the second page, proving a conjecture of Dunfield, Gukov and Rasmussen
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Dos Santos Santana Forte Vaz, P., & Naisse, G. (2021). 2-Verma modules and Khovanov-Rozansky link homologies. Mathematische Zeitschrift, 1, 1-32. https://hdl.handle.net/2078.5/269450 (Original work published 2020)