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
core +4 more sources
Preface of the Special Issue on Symplectic Geometry and Mathematical Physics [PDF]
Acta Mathematica Sinica, English SeriesHuijun Fan, Xiaobo Liu, Gang Tian
openaire +2 more sources
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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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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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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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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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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Symplectic Geometry and Its Applications on Time Series Analysis
Structure Topology and Symplectic Geometry, 2020 This chapter serves to introduce the symplectic geometry theory in time series analysis and its applications in various fields. The basic concepts and basic elements of mathematics relevant to the symplectic geometry are introduced in the second section.
Min Lei
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