17 citations · 59 across the 12 of their papers we have counts for
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math.DG2018★ 17 cited
Bochner Laplacian and Bergman kernel expansion of semi-positive line bundles on a Riemann surface
George Marinescu, Nikhil Savale
We generalize the results of Montgomery for the Bochner Laplacian on high tensor powers of a line bundle. When specialized to Riemann surfaces, this leads to the Bergman kernel exp…
math.SG2018★ 9 cited
Sub-leading asymptotics of ECH capacities
Daniel Cristofaro-Gardiner, Nikhil Savale
In previous work, the first author and collaborators showed that the leading asymptotics of the embedded contact homology (ECH) spectrum recovers the contact volume. Our main theor…
math.SP2018★ 8 cited
A Gutzwiller type trace formula for the magnetic Dirac operator
Nikhil Savale
For manifolds including metric-contact manifolds with non-resonant Reeb ow, we prove a Gutzwiller type trace formula for the associated magnetic Dirac operator involving contributi…