# Super McShane identity

@article{Huang2019SuperMI, title={Super McShane identity}, author={Yi Huang and Robert Clark Penner and Anton M. Zeitlin}, journal={arXiv: Geometric Topology}, year={2019} }

The authors derive a McShane identity for once-punctured super tori. Relying upon earlier work on super Teichm\"uller theory by the last two-named authors, they further develop the supergeometry of these surfaces and establish asymptotic growth rate of their length spectra.

## 4 Citations

An Expansion Formula for Decorated Super-Teichmüller Spaces

- MathematicsSymmetry, Integrability and Geometry: Methods and Applications
- 2021

Motivated by the definition of super-Teichmüller spaces, and Penner–Zeitlin’s recent extension of this definition to decorated super-Teichmüller space, as examples of super Riemann surfaces, we use…

Super Hyperbolic Law of Cosines: same formula with different content

- Mathematics, Physics
- 2021

We derive the Laws of Cosines and Sines in the super hyperbolic plane using Minkowski supergeometry and find the identical formulae to the classical case, but remarkably involving different…

Towards Super Teichm\"uller Spin TQFT

- Physics, Mathematics
- 2020

The quantization of the Teichm\"uller theory has led to the formulation of the so-called Teichm\"uller TQFT for 3-manifolds. In this paper we initiate the study of "supersymmetrization" of the…

Volumes And Random Matrices

- Mathematics, Physics
- 2020

This article is an introduction to newly discovered relations between volumes of moduli spaces of Riemann surfaces or super Riemann surfaces, simple models of gravity or supergravity in two…

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