"De Rham Cohomology" · 9 results

Hochschild Homology and De Rham Cohomology of Stratifolds

Ewald, Christian-OliverUniversität Heidelberg

… spaces he called Stratifolds. In this work the de Rham Cohomology and the Hochschild Homology of the algebra of smooth functions on a Stratifold will be computed and a generalization of Alain Connes result about the Hochschild Homology of smooth fuctions on a manifold will be proven.

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On the Cohomology of the Complement of a Toral Arrangement

Sawyer, Cameron CunninghamUniversity of North Texas1999

… uses a number of mathematical formula including de Rham cohomology with complex coefficients to state and prove extension of Brieskorn's Lemma theorem.

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A tensor product approach to non-local differential complexes

Kommer, JörnUniversität Bielefeld

We define and study differential complexes of Alexander-Spanier type on metric measure spaces associated with (generally) unbounded non-local operators, such as operators of fractional Laplacian type. We show that these complexes can be used to approximate complexes of differential forms in a …

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Odd dimensional symplectic manifolds by Zhenqi He.

He, Zhenqi, Ph. D. Massachusetts Institute of TechnologyMassachusetts Institute of Technology2010

… theory on the basic symplectic manifolds. We can define two cohomology theories on them, the standard basic de Rham cohomology gheory and a basic version of the Koszul-Brylinski-Mathieu 'harmonic' symplectic cohomology theory. Among our main results are a collection of examples for which these …

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Covers and invariants of Deligne-Lusztig curves

Skabelund, Dane C.University of Illinois at Urbana-Champaign2018

This thesis is comprised of three parts, each dealing with one or more of the Hermitian, Suzuki, and Ree curves, which are three families of algebraic curves over finite fields which have pronounced arithmetic and geometric properties. In the first part, we use a ray class field construction to …

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Realising The Smooth Representations Of GL2(O_F) Using p-adic Geometric Methods

Adams, ThomasUniversity of Cambridge2025

… using the theory of dagger analytic geometry developed by Grosse-Kl\"onne [GK00]. For a locally profinite group G that acts continuously on a smooth dagger space X we adapt the techniques of Ardakov and Wadsley from [AW24] in order to develop a theory of G-equivariant vector bundles with a …

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Asymptotically cylindrical Calabi–Yau and special Lagrangian geometry

Talbot, Timothy JamesUniversity of Cambridge2017

… As a prototype problem, we also consider an extension of Hodge theory to general asymptotically cylindrical manifolds. For our study of asymptotically cylindrical Calabi–Yau manifolds, we restrict to complex dimension three. We regard a Calabi–Yau structure as a pair of closed forms …

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