Results 51 to 60 of about 17,373 (192)
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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Punctured local holomorphic de Rham cohomology
Journal of the Mathematical Society of Japan, 2003 Let \((V,0) \subset (\mathbb{C}^{n+1},0)\) be the germ of an isolated hypersurface singularity. The \(q\)th punctured local holomorphic de Rham cohomology \(H^q_h(V,0)\) is defined as the direct limit of \(H^q_h (U \smallsetminus\{0\})\), where \(U\) runs over strongly pseudo convex neighbourhoods of \(0\) in \(V\) (here \(H^q_h (U \smallsetminus\{0\}\)
HUANG, Xiaojun +2 more
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De Rham’s Theorem for Orlicz Cohomology
Siberian Mathematical Journal, 2022 We prove that the de Rham $L^ $-cohomology of a Riemannian manifold $M$ admiting a convenient triangulation $X$ is isomorphic to the simplicial $\ell^ $-cohomology of $X$ for any Young function $ $. This result implies the quasi-isometry invariance of the first one.
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Local holomorphic De Rham cohomology [PDF]
Communications in Analysis and Geometry, 2010 A. Local holomorphic De Rham cohomology introduced in this paper and punctured local holomorphic De Rham cohomology introduced by Huang-Luk-Yau are two important local invariants for varieties with isolated singularities. We find some relations between these two invariants and the invariants defined by Steenbrink on surface singularities, and ...
Rong Du, Stephen Yau
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The relative Hodge–Tate spectral sequence for rigid analytic spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley +1 more source
Overconvergent de Rham-Witt cohomology [PDF]
, 2013 Copyright © 2011 Société mathématique de FranceThe goal of this work is to construct, for a smooth variety X over a perfect field k of finite characteristic p > 0, an overconvergent de Rham-Witt complex WyX=k as a suitable sub-complex of the de Rham-Witt
Davis, Christopher +2 more
core
Annalen der Physik, Volume 537, Issue 9, September 2025.Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
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A p-adic Cartier isomorphism between the A_inf-cohomology and de Rham-Witt complexes for semistable formal schemes [PDF]
, 2023 Kensuke Aoki
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Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation, 2012 We prove an effective bound for the degrees of generators of the algebraic de Rham cohomology of smooth affine hypersurfaces. In particular, we show that the de Rham cohomology H_dR^p(X) of a smooth hypersurface X of degree d in C^n can be generated by differential forms of degree d^O(pn).
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Closed geodesics and the first Betti number
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We prove that, on any closed manifold of dimension at least two with non‐zero first Betti number, a C∞$C^\infty$ generic Riemannian metric has infinitely many closed geodesics, and indeed closed geodesics of arbitrarily large length. We derive this existence result combining a theorem of Mañé together with the following new theorem of ...
Gonzalo Contreras, Marco Mazzucchelli
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