Derived stacks in symplectic geometry [PDF]
, 2018 This is a survey paper on derived symplectic geometry, that will appear as a chapter contribution to the book "New Spaces for Mathematics and Physics", edited by Mathieu Anel and Gabriel Catren.
Calaque, Damien
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Symplectic Geometry and Circuit Quantization [PDF]
PRX Quantum, 2023 Circuit quantization is an extraordinarily successful theory that describes the behavior of quantum circuits with high precision. The most widely used approach of circuit quantization relies on introducing a classical Lagrangian whose degrees of freedom ...
A. Osborne +5 more
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Symplectic geometry of Anosov flows in dimension 3 and bi-contact topology [PDF]
Advances in Mathematics, 2020 We give a purely contact and symplectic geometric characterization of Anosov flows in dimension 3 and set up a framework to systematically use tools from contact and symplectic geometry and topology in the study of Anosov dynamics.
Surena Hozoori
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The symplectic geometry of higher Auslander algebras: Symmetric products of disks [PDF]
Forum of Mathematics, Sigma, 2019 We show that the perfect derived categories of Iyama’s d-dimensional Auslander algebras of type ${\mathbb {A}}$ are equivalent to the partially wrapped Fukaya categories of the d-fold symmetric product of the $2$-dimensional unit disk with finitely many ...
Tobias Dyckerhoff +2 more
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Geometry and Automorphisms of Non-Kähler Holomorphic Symplectic Manifolds [PDF]
International mathematics research notices, 2020 We consider the only one known class of non-Kähler irreducible holomorphic symplectic manifolds, described in the works by D. Guan and the 1st author.
F. Bogomolov +3 more
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Optimal symplectic connections and deformations of holomorphic submersions [PDF]
Advances in Mathematics, 2022 We give a general construction of extremal Kähler metrics on the total space of certain holomorphic submersions, extending results of Dervan-Sektnan, Fine, and Hong.
A. Ortu
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Coisotropic Submanifolds in b-symplectic Geometry [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2019 We study coisotropic submanifolds of b-symplectic manifolds. We prove that b-coisotropic submanifolds (those transverse to the degeneracy locus) determine the b-symplectic structure in a neighborhood, and provide a normal form theorem. This extends Gotay’
Stephane Geudens, M. Zambon
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Gromov–Witten theory and Noether–Lefschetz theory for holomorphic-symplectic varieties [PDF]
Forum of Mathematics, Sigma, 2021 We use Noether–Lefschetz theory to study the reduced Gromov–Witten invariants of a holomorphic-symplectic variety of $K3^{[n]}$ -type. This yields strong evidence for a new conjectural formula that expresses Gromov–Witten invariants of this geometry ...
G. Oberdieck
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Admissible restrictions of irreducible representations of reductive Lie groups: symplectic geometry and discrete decomposability [PDF]
Pure and Applied Mathematics Quarterly, 2019 Let $G$ be a real reductive Lie group, $L$ a compact subgroup, and $\pi$ an irreducible admissible representation of $G$. This paper proves a necessary and sufficient condition for the finiteness of the multiplicities of $L$-types occurring in $\pi ...
Toshiyuki Kobayashi
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Symplectic geometry of p-adic Teichmüller uniformization for ordinary nilpotent indigenous bundles [PDF]
Tunisian Journal of Mathematics, 2019 The aim of the present paper is to provide a new aspect of the $p$-adic Teichmuller theory established by S. Mochizuki. We study the symplectic geometry of the $p$-adic formal stacks $\widehat{\mathcal{M}}_{g, \mathbb{Z}_p}$ (= the moduli classifying $p$-
Y. Wakabayashi
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