Academics

Seminar on QFT and Geometry | Topological Twisted Indices from 3-manifolds- 2

Time:Friday, 3:00-5:00 pm April 19, 2024

Venue:Jingzhai 218

Organizer:Myungbo Shim, Nicolai Reshetikhin, Babak Haghighat

Speaker:Myungbo Shim

Abstract:

Last time, we reviewed the topologically twisted indices from the holonomy matrix method for 3-manifolds constructed by Dehn surgery of knot/link complements. This time, we are going to review the other method using the ideal triangulation based on Dimofte-Gaiotto-Gukov and Dimofte-Garoufalidis.Specifically, we'll review combinatorial data of ideal triangulation of 3-manifolds with n-cusped boundaries.

DATEApril 18, 2024
SHARE
Related News
    • 0

      Seminar on QFT and Geometry | Topological Twisted Indices from 3-manifolds

      Abstract:For a smooth projective variety X over C , the global sections of the symmetric algebra of the tangent bundle form a C-algebra S(X) , which has been little studied up to now. I will use a series of examples to show that this algebra is both interesting and difficult to calculate. I'll end with a theorem that bounds its (Krull) dimension in terms of the Kodaira dimension of X . This is ...

    • 1

      Differential Geometry Seminar | Spectral bounds on hyperbolic 3-manifolds

      Abstract:I will discuss some new bounds on the spectra of Laplacian operators on hyperbolic 3-manifolds. One example of such a bound is that the spectral gap of the Laplace-Beltrami operator on a closed orientable hyperbolic 3-manifold must be less than 47.32, or less than 31.57 if the first Betti number is positive. The bounds are derived using two approaches, both of which employ linear prog...