Hofer–Zehnder capacity and Bruhat
graph

Castro, Alexander Caviedes

doi:10.2140/agt.2020.20.565

Algebr. Geom. Topol.

2020

DOI: 10.2140/agt.2020.20.565

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Hofer–Zehnder capacity and Bruhat graph

Alexander Caviedes Castro

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2022

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Symplectic geometry of Cartan–Hartogs domains

Mossa

Zedda

2022

Annali di Matematica

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This paper studies the geometry of Cartan–Hartogs domains from the symplectic point of view. Inspired by duality between compact and noncompact Hermitian symmetric spaces, we construct a dual counterpart of Cartan–Hartogs domains and give explicit expression of global Darboux coordinates for both Cartan–Hartogs domains and their dual. Further, we compute their symplectic capacity and show that a Cartan–Hartogs domain admits a symplectic duality if and only if it reduces to be a complex hyperbolic space.

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Symplectic geometry of Cartan–Hartogs domains

Mossa

Zedda

2022

Annali di Matematica

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Hofer–Zehnder capacity and Bruhat graph

Cited by 1 publication

References 26 publications

Symplectic geometry of Cartan–Hartogs domains

Symplectic geometry of Cartan–Hartogs domains

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