Quantization Formula for Symplectic Manifolds with Boundary
نویسندگان
چکیده
منابع مشابه
The Gopakumar-vafa Formula for Symplectic Manifolds
The Gopakumar-Vafa conjecture predicts that the Gromov-Witten invariants of a CalabiYau 3-fold can be canonically expressed in terms of integer invariants called BPS numbers. Using the methods of symplectic Gromov-Witten theory, we prove that the Gopakumar-Vafa conjecture holds for any symplectic Calabi-Yau 6-manifold, and hence for Calabi-Yau 3-folds. The results extend to all symplectic 6-man...
متن کاملPath Integral Quantization and Riemannian-Symplectic Manifolds
We develop a mathematically well-defined path integral formalism for general symplectic manifolds. We argue that in order to make a path integral quantization covariant under general coordinate transformations on the phase space and involve a genuine functional measure that is both finite and countably additive, the phase space manifold should be equipped with a Riemannian structure (metric). A...
متن کاملDeformation quantization modules on complex symplectic manifolds
We study modules over the algebroid stack WX of deformation quantization on a complex symplectic manifold X and recall some results: construction of an algebra for ⋆-products, existence of (twisted) simple modules along smooth Lagrangian submanifolds, perversity of the complex of solutions for regular holonomic WX -modules, finiteness and duality for the composition of “good” kernels. As a coro...
متن کاملMorse’s index formula in VMO for compact manifolds with boundary
In this paper, we study Vanishing Mean Oscillation vector fields on a compact manifold with boundary. Inspired by the work of Brezis and Niremberg, we construct a topological invariant — the index — for such fields, and establish the analogue of Morse’s formula. As a consequence, we characterize the set of boundary data which can be extended to nowhere vanishing VMO vector fields. Finally, we s...
متن کاملBrst Quantization of Quasi-symplectic Manifolds and Beyond
A class of factorizable Poisson brackets is studied which includes almost all reasonable Poisson manifolds. In the simplest case these brackets can be associated with symplectic Lie algebroids (or, in another terminology, with triangular Lie bialgebroids associated to a nondegenerate r-matrix). The BRST theory is applied to describe the geometry underlying these brackets and to develop a covari...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Geometric And Functional Analysis
سال: 1999
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s000390050097