Topology and Flux of T-Dual Manifolds with Circle Actions
نویسندگان
چکیده
منابع مشابه
Topology and H-flux of T-dual manifolds.
We present a general formula for the topology and H-flux of the T-dual of a type II compactification. Our results apply to T-dualities with respect to any free circle action. In particular, we find that the manifolds on each side of the duality are circle bundles whose curvatures are given by the integral of the dual H-flux over the dual circle. As a corollary we conjecture an obstruction to mu...
متن کاملQuantization of Presymplectic Manifolds and Circle Actions
We prove several versions of “quantization commutes with reduction” for circle actions on manifolds that are not symplectic. Instead, these manifolds possess a weaker structure, such as a spinc structure. Our theorems work whenever the quantization data and the reduction data are compatible; this condition always holds if we start from a presymplectic (in particular, symplectic) manifold.
متن کاملCircle Actions and Z/k-manifolds
We establish a S1-equivariant index theorem for Dirac operators on Z/kmanifolds. As an application, we generalize the Atiyah-Hirzebruch vanishing theorem for S1-actions on closed spin manifolds to the case of Z/k-manifolds. Résumé français On établit un théorème d’indice S-équivariant pour les opérateurs de Dirac sur des Z/k variétés. On donne une application de ce résultat, qui généralise le t...
متن کاملEmbedding 3-manifolds with Circle Actions in 4-space
We give constraints on the Seifert invariants of orientable 3-manifolds which admit fixed-point free circle actions and embed in R. In particular, the generalized Euler invariant ε of the orbit fibration is determined up to sign by the base orbifold B unless H1(M ;Z) is torsion free, in which case it can take at most one nonzero value (up to sign). No such manifold with base B = S2(α1, . . . , ...
متن کاملFree Circle Actions with Contractible Orbits on Symplectic Manifolds
We prove that closed symplectic four-manifolds do not admit any smooth free circle actions with contractible orbits, without assuming that the actions preserve the symplectic forms. In higher dimensions such actions by symplectomorphisms do exist, and we give explicit examples based on the constructions of [5].
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: Communications in Mathematical Physics
سال: 2012
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-012-1542-8