Variations on the de Rham Complex, Volume 46, Number 11
نویسنده
چکیده
1368 NOTICES OF THE AMS VOLUME 46, NUMBER 1
منابع مشابه
Chiral de Rham complex and the half-twisted sigma-model
On any Calabi-Yau manifold X one can define a certain sheaf of chiral N = 2 superconformal field theories, known as the chiral de Rham complex of X. It depends only on the complex structure of X, and its local structure is described by a simple free field theory. We show that the cohomology of this sheaf can be identified with the infinite-volume limit of the half-twisted sigma-model defined by...
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Finite element exterior calculus (FEEC) has been developed over the past decade as a framework for constructing and analyzing stable and accurate numerical methods for partial differential equations by employing differential complexes. The recent work of Arnold, Falk, and Winther includes a well-developed theory of finite element methods for Hodge–Laplace problems, including a priori error esti...
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متن کاملDe Rham Theorem for Extended L 2 -cohomology
We prove an analogue of the de Rham theorem for the extended L 2-cohomology introduced by M.Farber [Fa]. This is done by establishing that the de Rham complex over a compact closed manifold with coefficients in a flat Hilbert bundle E of A-modules over a finite von Neumann algebra A is chain-homotopy equivalent in the sense of [GS] (i.e. with bounded morphisms and homotopy operators) to a combi...
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We show that, given a projective regular function f : X → C on a smooth quasiprojective variety, the corresponding cohomology groups of the twisted de Rham complex (Ω• X , d − df∧) and of the complex (Ω• X , df∧) have the same dimension. We generalize the result to de Rham complexes with coefficients in a mixed Hodge Module.
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