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arXiv · 1901.09395

Existence of pseudo-heavy fibers of moment maps

Morimichi Kawasaki·Ryuma Orita
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Abstract

In the present paper, we introduce the notion of pseudo-heaviness of closed subsets of closed symplectic manifolds and prove the existence of pseudo-heavy fibers of moment maps. In particular, we generalize Entov and Polterovich's theorem, which ensures the existence of non-displaceable fibers, and provide a partial answer to a problem posed by them, which asks the existence of heavy fibers. Moreover, we apply our results to prove that some generalized coupled angular momenta have more than two non-displaceable fibers.

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Morimichi Kawasaki, Ryuma Orita. 2019-01-27. Existence of pseudo-heavy fibers of moment maps. https://doi.org/10.1142/s0219199720500479

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