Transition Amplitude in 2+1 dimensional Chern-Simons Gravity on a Torus
Kiyoshi Ezawa

TL;DR
This paper investigates the transition amplitude in 2+1 dimensional Chern-Simons gravity formulated on a torus, focusing on the implications of modular invariance for the theory's structure.
Contribution
It provides a detailed analysis of modular invariance in the context of 2+1 dimensional Chern-Simons gravity on a torus, refining previous discussions.
Findings
Refined understanding of modular invariance in the theory
Insights into the structure of transition amplitudes
Enhanced formulation of Chern-Simons gravity on a torus
Abstract
The discussions on the modular invariance in section 5 are refined.
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