Buondì,
Vi segnalo il seminario di geometria di giovedì prossimo (ore 16 aula seminari). Siete tutti invitati, A presto, Bruno Martelli
Thursday, October 4, 2018 16:00 17:00 SEMINARI DI GEOMETRIA Sala Seminari (Dip. Matematica) Transverse invariants from the deformations of Khovanov sl_3 homology Carlo Collari
In this talk I will describe some invariants for transverse links in S^3 (endowed with the symmetric contact structure) arising from the deformations of Khovanov sl_3 homology.
I will start with a brief introduction to the theory of transverse links in S^3. Afterward, I will recall some known results concerning transverse invariants in link homologies. In particular, I will focus on the invariants coming from Khovanov-Rozansky homologies, and those coming from the deformations of Khovanov homology.
After the introductory part, I will briefly describe the construction and the properties of the universal sl_3 link homology, due to Mackaay and Vaz, and define the transverse invariants. These invariants, which are called the \beta_3-invariants, are cycles in the universal sl_3 complex.
Finally, I will state a result concerning the vanishing of the homology classes of these invariants, and compare it with similar results known for other invariants. The idea of the proof will be also given. Time permitting, I will also give a number of Bennequin-type inequalities which can be proved using the \beta_3-invariants.