Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Zeinalian, Mahmoud"'
Autor:
Hosgood, Timothy, Zeinalian, Mahmoud
We construct three simplicial presheaves on the site of ringed spaces, and in particular on that of complex manifolds. The descent objects for these simplicial presheaves yield Toledo--Tong's twisting cochains, simplicial twisting cochains, and compl
Externí odkaz:
http://arxiv.org/abs/2308.09627
We explain how to derive an explicit formula for a natural transformation relating the (left adjoints of) the homotopy coherent nerve and the Dwyer-Kan simplicial classifying space functor. The formula is derived using a method introduced by Szczarba
Externí odkaz:
http://arxiv.org/abs/2305.13638
Coherent sheaves on general complex manifolds do not necessarily have resolutions by finite complexes of vector bundles. However D. Toledo and Y.L.L. Tong showed that one can resolve coherent sheaves by objects analogous to chain complexes of holomor
Externí odkaz:
http://arxiv.org/abs/2211.02549
We study the Gaussian Unitary Ensemble (GUE) using noncommutative geometry and the homological framework of the Batalin-Vilkovisky (BV) formalism. Coefficients of the correlation functions in the GUE with respect to the rank $N$ are described in term
Externí odkaz:
http://arxiv.org/abs/2206.04256
We establish an explicit comparison between two constructions in homotopy theory: the left adjoint of the homotopy coherent nerve functor, also known as the rigidification functor, and the Kan loop groupoid functor. This is achieved by considering lo
Externí odkaz:
http://arxiv.org/abs/2201.03046
We offer a new approach to large $N$ limits using the Batalin-Vilkovisky formalism, both commutative and noncommutative, and we exhibit how the Loday-Quillen-Tsygan Theorem admits BV quantizations in that setting. Matrix integrals offer a key example
Externí odkaz:
http://arxiv.org/abs/2108.12109
We prove that the simplicial cocommutative coalgebra of singular chains on a connected topological space determines the homotopy type rationally and one prime at a time, without imposing any restriction on the fundamental group. In particular, the fu
Externí odkaz:
http://arxiv.org/abs/2006.05362
Publikováno v:
Algebr. Geom. Topol. 21 (2021) 1535-1552
Bousfield and Kan's $\mathbb{Q}$-completion and fiberwise $\mathbb{Q}$-completion of spaces lead to two different approaches to the rational homotopy theory of non-simply connected spaces. In the first approach, a map is a weak equivalence if it indu
Externí odkaz:
http://arxiv.org/abs/1906.03655
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 1057-1112
We define a map of simplicial presheaves, the Chern character, that assigns to every sequence of composable non connection preserving isomorphisms of vector bundles with holomorphic connections an appropriate sequence of holomorphic forms. We apply t
Externí odkaz:
http://arxiv.org/abs/1905.07674
Publikováno v:
In Advances in Mathematics 15 February 2023 415
