Results 1 to 10 of about 1,803 (12)
Toeplitz Operators, K\"ahler Manifolds, and Line Bundles [PDF]
, 2007 This is a survey paper. We discuss Toeplitz operators in K\"ahler geometry, with applications to geometric quantization, and review some recent developments.Comment: This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in ...
Foth, Tatyana
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Fukaya Categories as Categorical Morse Homology [PDF]
, 2014 The Fukaya category of a Weinstein manifold is an intricate symplectic invariant of high interest in mirror symmetry and geometric representation theory. This paper informally sketches how, in analogy with Morse homology, the Fukaya category might result
Nadler, David
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Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey [PDF]
, 2008 After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson structure, and of ...
Kosmann-Schwarzbach, Yvette
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Heisenberg model in pseudo-Euclidean spaces [PDF]
, 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
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Fiberwise volume growth via Lagrangian intersections [PDF]
, 2005 We consider Hamiltonian diffeomorphisms $\phi$ of the unit cotangent bundle over a closed Riemannian manifold $(M,g)$ which extend to Hamiltonian diffeomorphisms of $T^*M$ equal to the time-1-map of the geodesic flow for $|p| \ge 1$.
Frauenfelder, Urs, Schlenk, Felix
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Groupoids, Frobenius algebras and Poisson sigma models [PDF]
, 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
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Enumerative invariants of stongly semipositive real symplectic six-manifolds [PDF]
, 2007 Following the approach of Gromov and Witten, we define invariants under deformation of stongly semipositive real symplectic six-manifolds. These invariants provide lower bounds in real enumerative geometry, namely for the number of real rational $J ...
Welschinger, Jean-Yves
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Homological mirror symmetry is T-duality for $\mathbb P^n$
, 2008 In this paper, we apply the idea of T-duality to projective spaces. From a connection on a line bundle on $\mathbb P^n$, a Lagrangian in the mirror Landau-Ginzburg model is constructed.
Fang, Bohan
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Exact Lagrangian submanifolds in simply-connected cotangent bundles
, 2007 We consider exact Lagrangian submanifolds in cotangent bundles. Under certain additional restrictions (triviality of the fundamental group of the cotangent bundle, and of the Maslov class and second Stiefel-Whitney class of the Lagrangian submanifold) we
A. Bondal +18 more
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Poisson Geometry in Constrained Systems
, 2002 Constrained Hamiltonian systems fall into the realm of presymplectic geometry. We show, however, that also Poisson geometry is of use in this context.
Bertlmann R. A. +11 more
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