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math.DG2020★ 1 cited
On full asymptotics of analytic torsions for compact locally symmetric orbifolds
Bingxiao Liu
We consider a certain sequence of flat vector bundles on a compact locally symmetric orbifold, and we evaluate explicitly the associated asymptotic Ray-Singer real analytic torsion…
math.DG2019
Hypoelliptic Laplacian and twisted trace formula
Bingxiao Liu
We give an explicit geometric formula for the twisted orbital integrals using the method of the hypoelliptic Laplacian developed by Bismut. Combining with the twisted trace formula…