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arXiv · 2304.09354

Coadjoint orbits of area-preserving diffeomorphisms of non-orientable surfaces

Anton Izosimov·Boris Khesin·Ilia Kirillov
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Abstract

We give a classification of generic coadjoint orbits for the group of area-preserving diffeomorphisms of a closed non-orientable surface. This completes V. Arnold's program of studying invariants of incompressible fluids in 2D. As an auxiliary problem, we also classify simple Morse pseudo-functions on non-orientable surfaces up to area-preserving diffeomorphisms.

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Anton Izosimov, Boris Khesin, Ilia Kirillov. 2023-04-19. Coadjoint orbits of area-preserving diffeomorphisms of non-orientable surfaces. https://arxiv.org/abs/2304.09354

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