Results 11 to 20 of about 212,635 (101)

Groupoids, Frobenius algebras and Poisson sigma models [PDF]

open access: yes, 2013
In this paper we discuss some connections between groupoids and Frobenius algebras specialized in the case of Poisson sigma models with boundary. We prove a correspondence between groupoids in the category Set and relative Frobenius algebras in the ...
Contreras, Ivan
core   +1 more source

Energy capacity inequalities via an action selector [PDF]

open access: yes, 2004
An action selector associates, in a suitable way, to each compactly supported Hamiltonian on a symplectic manifold an action value of the Hamiltonian. Action selectors are known to exist for a broad class of symplectic manifolds.
Frauenfelder, Urs   +2 more
core   +2 more sources

Integration of twisted Poisson structures [PDF]

open access: yes, 2003
Poisson manifolds may be regarded as the infinitesimal form of symplectic groupoids. Twisted Poisson manifolds considered by Severa and Weinstein [math.SG/0107133] are a natural generalization of the former which also arises in string theory.
Alberto S. Cattaneo   +6 more
core   +3 more sources

Sheaves and symplectic geometry of cotangent bundles [PDF]

open access: yesAstérisque, 2019
This paper is essentially made of the three preprints arXiv:1212.5818, arXiv:1311.0187, arXiv:1603.07876 gathered in a single text, with simplified proofs. We recall several results of the microlocal theory of sheaves of Kashiwara-Schapira and apply them
St'ephane Guillermou
semanticscholar   +1 more source

Heisenberg model in pseudo-Euclidean spaces [PDF]

open access: yes, 2014
We construct analogues of the classical Heisenberg spin chain model (or the discrete Neumann system) on pseudo-spheres and light-like cones in the pseudo-Euclidean spaces and show their complete Hamiltonian integrability.
Jovanovic, Bozidar
core   +1 more source

QP-Structures of Degree 3 and 4D Topological Field Theory [PDF]

open access: yes, 2011
A A BV algebra and a QP-structure of degree 3 is formulated. A QP-structure of degree 3 gives rise to Lie algebroids up to homotopy and its algebraic and geometric structure is analyzed.
A.S. Cattaneo   +25 more
core   +2 more sources

The symplectic geometry of higher Auslander algebras: Symmetric products of disks [PDF]

open access: yesForum 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
semanticscholar   +1 more source

Symplectic Geometry and Its Applications on Time Series Analysis

open access: yesStructure 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
semanticscholar   +1 more source

Contact manifolds with symplectomorphic symplectizations [PDF]

open access: yesGeometry & Topology 18 (2014) 1-15, 2012
We provide examples of contact manifolds of any odd dimension $\geq 5$ which are not diffeomorphic but have exact symplectomorphic symplectizations.
arxiv   +1 more source

On the principle of stationary isoeneretic action

open access: yes, 2012
We present several variants of the Maupertuis principle, both on the exact and the non exact symplectic manifolds.Comment: 19 pages, 2 ...
Jovanovic, Bozidar
core   +1 more source

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