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math.DG2022
Equivariant analytic torsion for proper actions
Peter Hochs, Hemanth Saratchandran
We construct an equivariant version of Ray-Singer analytic torsion for proper, isometric actions by locally compact groups on Riemannian manifolds, with compact quotients. We obtai…
math.DG2022
A new higher order Yang--Mills--Higgs flow in Riemannian -manifold
Hemanth Saratchandran, Jiaogen Zhang, Pan Zhang
Let be a closed Riemannian -manifold and let be a vector bundle over with structure group , where is a compact Lie group. In this paper, we consider a new…