Peng Zhou

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2023-06-07

What is the B-side? For the simplest case, what is the $gl(1 | 1)$?

In the case where there is no puncture, and just k strand, we get the fermionic cylindrical Nil-Hecke algebra. $fcNH_k$. The nilCoxeter algebra, with 0 q-grading, but minus Maslov grading. Nontrivial differential.

There are two types of punctures. Now, suppose we have a single strand. Consider the superpotential of $z(1 + y(1+\cdots+x^n))$. This should corresponds to the space of $\C \times \C^2 / Z_n$. So here, we have a bunch of CY 2, locally, $T^*\P^1$, glued together, then times $\C$, a trivial bundle.

Consider the case: $\C^3$. What's the difference between $Tot O_{\P^1}(0, -2)$, and $Tot O_{\P^1}(-1, -1)$? They are both toric CY3.

2023-06-06

  • Action by correspondence, history of quiver Hecke algebra
  • Lie superalgebra

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2023-05-30

visit to U Oregon.

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2023-05-18 Thu

Question to myself:

  • what is the wrapped Fukaya category? Can we not wrap the Lagrangian, just work with the path space between Lagrangians? What is the Floer equation?

2023-05-07 Sun

  • SBim, character sheaves, mixed geometry
  • some Weinstein and Contact geometry from this HDHF paper.

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2023-05-06 Sat

  • Grading
  • Orientation
  • Index

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2023-05-02

  • chat with Denis

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2023-05-01 signs

I need to worry about signs. This is done in Seidel's book, thank goodness. At least I know if I try hard enough, I can understand it.

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2023-04-30

  • More on quiver gauge theory from toric CY3
  • Editing the paper

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blog/start.txt · Last modified: 2023/07/16 17:08 by pzhou