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2020 Hofer–Zehnder capacity and Bruhat graph
Alexander Caviedes Castro
Algebr. Geom. Topol. 20(2): 565-600 (2020). DOI: 10.2140/agt.2020.20.565

Abstract

We find bounds for the Hofer–Zehnder capacity of spherically monotone coadjoint orbits of compact Lie groups with respect to the Kostant–Kirillov–Souriau symplectic form in terms of the combinatorics of their Bruhat graphs. We show that our bounds are sharp for coadjoint orbits of the unitary group and equal in that case to the diameter of a weighted Cayley graph.

Citation

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Alexander Caviedes Castro. "Hofer–Zehnder capacity and Bruhat graph." Algebr. Geom. Topol. 20 (2) 565 - 600, 2020. https://doi.org/10.2140/agt.2020.20.565

Information

Received: 2 February 2017; Revised: 4 December 2018; Accepted: 19 April 2019; Published: 2020
First available in Project Euclid: 30 April 2020

zbMATH: 07195372
MathSciNet: MR4092307
Digital Object Identifier: 10.2140/agt.2020.20.565

Subjects:
Primary: 14M15, 57R17
Secondary: 53D45

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.20 • No. 2 • 2020
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