A bstract Motivated by physical constructions of homological knot invariants, we study their
analogs for closed 3-manifolds. We show that fivebrane compactifications provide a …

We study the unwrapped Fukaya category of Lagrangian branes ending on a Legendrian
knot. Our knots live at contact infinity in the cotangent bundle of a surface, the Fukaya …

We conjecturally extract the triply graded Khovanov–Rozansky homology of the (m, n) torus
knot from the unique finite-dimensional simple representation of the rational DAHA of type A …

We study the nn‐point differentials corresponding to Kadomtsev–Petviashvili (KP) tau
functions of hypergeometric type (also known as Orlov–Scherbin partition functions), with an …

A bstract In fivebrane compactifications on 3-manifolds, we point out the importance of all flat
connections in the proper definition of the effective 3d\(\mathcal {N}= 2\) theory. The …

A log Calabi-Yau surface with maximal boundary, or Looijenga pair, is a pair $(Y, D) $ with $
Y $ a smooth rational projective complex surface and $ D= D_1+\dots+ D_l\in|-K_Y| $ an …

A bstract This paper provides both a detailed study of color-dependence of link homologies,
as realized in physics as certain spaces of BPS states, and a broad study of the behavior of …

We give a geometric interpretation of the coefficients of the HOMFLYPT polynomial of any
link in the three-sphere as counts of holomorphic curves. The curves counted live in the …

Lectures on knot homology Page 146 Contemporary Mathematics Volume 680 , 2016 http://dx.
doi. org/10.1090/conm/680/13702 Lectures on knot homology Satoshi Nawata and Alexei …

Using the correspondence between Chern-Simons theories and Wess-Zumino-Witten
models, we present the necessary tools to calculate colored HOMFLY polynomials for …