Results 61 to 70 of about 167,457 (236)
Manuscripta Mathematica, 1972 We announce the development of a theory of algebraic De Rham cohomology and homology for arbitrary schemes over a field of characteristic zero. Over the complex numbers, this theory is equivalent to singular cohomology. Applications include generalizations of theorems of Lefschetz and Barth on the cohomology of projective varieties.
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The first de Rham cohomology group and Dieudonné modules
, 1969 © Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1969, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www. elsevier.com/locate/ansens) implique l’accord avec les conditions générales
Tadao Oda
semanticscholar +1 more source
Groups with exotic finiteness properties from complex Morse theory
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract Recent constructions have shown that interesting behaviours can be observed in the finiteness properties of Kähler groups and their subgroups. In this work, we push this further and exhibit, for each integer k$k$, new hyperbolic groups admitting surjective homomorphisms to Z${\mathbb {Z}}$ and to Z2${\mathbb {Z}}^{2}$, whose kernel is of type ...
Claudio Llosa Isenrich, Pierre Py
wiley +1 more source
Steenrod operations on the de Rham cohomology of algebraic stacks [PDF]
, 2020 Building up on work of Epstein, May and Drury, we define and investigate the mod $p$ Steenrod operations on the de Rham cohomology of smooth algebraic stacks over a field of characteristic $p>0$. We then compute the action of the operations on the de Rham cohomology of classifying stacks for finite groups, connected reductive groups for which $p$ is ...
arxiv +1 more source
Twisted de Rham cohomology, homological definition of the integral and "Physics over a ring"
, 2008 We define the twisted de Rham cohomology and show how to use it to define the notion of an integral of the form $\int g(x) e^{f(x)}dx$ over an arbitrary ring.
Schwarz, Albert, Shapiro, Ilya
core +1 more source
, 2020 The derived de Rham complex has been introduced by Illusie in 1972 as a natural consequence of the definition of the cotangent complex for a scheme morphism. This theory seems to have been forgot until the recents works by Bhatt and Beilinson, who gave several applications, in particular in $p$-adic Hodge Theory.
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Double Copy From Tensor Products of Metric BV■‐Algebras
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten +5 more
wiley +1 more source
De Rham cohomology of the supermanifolds and superstring BRST cohomology [PDF]
Physics Letters B, 1997 We show that the BRST operator of Neveu-Schwarz-Ramond superstring is closely related to de Rham differential on the moduli space of decorated super-Riemann surfaces . We develop formalism where superstring amplitudes are computed via integration of some differential forms over a section of over the super moduli space .
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Geometric Relational Framework for General‐Relativistic Gauge Field Theories
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract It is recalled how relationality arises as the core insight of general‐relativistic gauge field theories from the articulation of the generalized hole and point‐coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally.
Jordan T. François, Lucrezia Ravera
wiley +1 more source
The symplectic density property for Calogero–Moser spaces
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We introduce the symplectic density property and the Hamiltonian density property together with the corresponding versions of Andersén–Lempert theory. We establish these properties for the Calogero–Moser space Cn$\mathcal {C}_n$ of n$n$ particles and describe its group of holomorphic symplectic automorphisms.
Rafael B. Andrist, Gaofeng Huang
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