3-Manifold Seminar: A tangle approach in the study of Legendrian knots.
Seminar | December 5 | 2:10-3:30 p.m. | 740 Evans Hall
Tao Su, UC BERKELEY
In this talk, I will present a tangle approach in the study of Legendrian knots. The 2 main ingredients are ruling polynomials (Legendrian analogues of Jones polynomials), and augmentation varieties ('moduli of rank 1 representations' of Chekanov-Eliashberg DGAs) for Legendrian tangles, where the point-counting of the latter recovers the former. The tangle approach in particular leads to new and more natural proofs to some previously known results in the cases of Legendrian knots. The talk is mainly based on https://arxiv.org/abs/1707.04948.