7,630 research outputs found
Witten Genus and Elliptic genera for proper actions
In this paper, we construct for the first time, the Witten genus and elliptic
genera on noncompact manifolds with a proper cocompact action by an almost
connected Lie group and prove vanishing and rigidity results that generalise
known results for compact group actions on compact manifolds. We also compute
our genera for some interesting examples.Comment: 26 pages. A conjecture remove
Witten Genus and String Complete Intersections
In this note, we prove that the Witten genus of nonsingular string complete
intersections in product of complex projective spaces vanishes. Our result
generalizes a known result of Landweber and Stong (cf. [HBJ]).Comment: Some materials and references are adde
Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality
We define exotic twisted -equivariant cohomology for the loop space
of a smooth manifold via the invariant differential forms on with
coefficients in the (typically non-flat) holonomy line bundle of a gerbe, with
differential an equivariantly flat superconnection. We introduce the twisted
Bismut-Chern character form, a loop space refinement of the twisted Chern
character form, which represent classes in the completed periodic exotic
twisted -equivariant cohomology of . We establish a localisation
theorem for the completed periodic exotic twisted -equivariant cohomology
for loop spaces and apply it to establish T-duality in a background flux in
type II String Theory from a loop space perspective.Comment: 23 pages. To appear in CM
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