Nikhil Savale

activity

20142026

most citedBochner Laplacian and Bergman kernel expansion of semi-positive line bundles on a Riemann surface

17 citations · 59 across the 12 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.DG2014

The Gauss-Bonnet-Chern theorem: a probabilistic perspective

Liviu I. Nicolaescu, Nikhil Savale

We prove that the Euler form of a metric connection on real oriented vector bundle $E$ over a compact oriented manifold $M$ can be identified, as a current, with the expectation of…

math.DG2014★ 8 cited

Asymptotics of the eta invariant

Nikhil Savale

We prove an asymptotic bound on the eta invariant of a family of coupled Dirac operators on an odd dimensional manifold. In the case when the manifold is the unit circle bundle of…