45 citations · 82 across the 34 of their papers we have counts for
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math.SG2015
Lagrangian cobordism and metric invariants
Octav Cornea, Egor Shelukhin
We introduce new pseudo-metrics on spaces of Lagrangian submanifolds of a symplectic manifold by considering areas associated to projecting Lagrangian cobordisms in $\mathb…
math.SG2015★ 1 cited
K-theoretic invariants of Hamiltonian fibrations
Yasha Savelyev, Egor Shelukhin
We introduce new invariants of Hamiltonian fibrations with values in the suitably twisted K-theory of the base. Inspired by techniques of geometric quantization, our invariants ari…
math.AP2015
A uniform estimate for general quaternionic Calabi problem (with appendix by Daniel Barlet)
Semyon Alesker, Egor Shelukhin
We prove a a priori estimate on a solution of the quaternionic Calabi problem on an arbitrary compact connected HKT-manifold. This generalizes earlier works where this result…