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math.DG2025
Morse-Bott Volume Forms
Luke Volk, Boris Khesin
A Morse-Bott volume form on a manifold is a top-degree form which vanishes along a non-degenerate critical submanifold. We prove that two such forms are diffeomorphic (by a diffeom…
math.DG2024
Simple unbalanced optimal transport
Boris Khesin, Klas Modin, Luke Volk
We introduce and study a simple model capturing the main features of unbalanced optimal transport. It is based on equipping the conical extension of the group of all diffeomorphism…