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hep-th2021
Supersymmetry and trace formulas I. Compact Lie groups
Changha Choi, Leon A. Takhtajan
In the context of supersymmetric quantum mechanics we formulate new supersymmetric localization principle, with application to trace formulas for a full thermal partition function.…
math.AG2021
Goldman form, flat connections and stable vector bundles
Leon A. Takhtajan
We consider the moduli space of stable vector bundles of degree over a compact Riemann surface and the affine bundle of flat connectio…
math.SP2021
Trace formulas for the modified Mathieu equation
Leon A. Takhtajan
For the radial and one-dimensional Schrödinger operator with growing potential we outline a method of obtaining the trace identities - an asymptotic expansion of the Fre…