Table of Contents
blog
2025-02-26
The 3d GMW theory.
In Kapranov-Kontsevich-Soibelmann paper, 10 years ago, they mentioned that it is possible to consider marked polytope in $\R^3$. There is a $E_3$-algebra controlling the deformation of $E_2$-algebra, and there can be coefficient enhancing all these. I want to understand what precisely is the statement.
2025-01-23
- Discussion with Xin Jin about her proof
2025-01-21
I was discussing with Yixuan yesterday. He mentioned a few works by Siu-Cheong Lau are noteworthy.
- Localized mirror functor. No, not just probing the space using a compact immersed Lagrangian, but with deformation, allowing immersed Lagrangians.
- Nakajima quiver variety coming from Floer theory
What is the Crane-Frenkel 4d TQFT? What is the small quantum group? Why we need to be small? Just so the Verma can be defined?
2025-01-15
I have been thinking about Liouville sector. The condition on stop is very harsh, in the sense that the Liouville flow need to preserve the boundary. I am not sure if GPS themselves constructed these required structures.
- Construct Liouville structure?
- Examples
2025-01-09
- colimit of algebras
2025-01-07
- Mina relates Cherns-Simon's partition function $CS(\Sigma \times S^1)$ with our rank of $K$-theory formula.
- Lecture note on Ringel-Hall algebra.
2025-01-06
We had a long detour into Cautis-Kamnitzer's constructions, at least we had some familiarity with flag variety.
But, I still do not know about disk with 3 or more stops.
- Disk with 2 stops and $k$-strands, is assigned to $D-mod(pt/GL(k) )$ which is derived equivalent to $NH_k-Mod$.
- Disk with 2 stops, goes to the monoidal category $U_-$.
- Disk with 3 stops with $k$ strands, we have $k+1$ many objects serving as generators, and they form an full exceptional collection.