Zobrazeno 1 - 10
of 29 825
pro vyhledávání: '"mathematics - algebraic topology"'
Autor:
Moser, Lyne, Nuiten, Joost
In this paper, we construct a model structure for $(\infty,1)$-categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of $(\infty,1)$-categories
Externí odkaz:
http://arxiv.org/abs/2412.10359
Autor:
Aambø, Torgeir
We study the interplay between localizing subcategories in a stable $\infty$-category $\mathcal{C}$ with $t$-structure $(\mathcal{C}_{\geq 0}, \mathcal{C}_{\leq 0})$, the prestable $\infty$-category $\mathcal{C}_{\geq 0}$ and the abelian category $\m
Externí odkaz:
http://arxiv.org/abs/2412.09391
Autor:
Strickland, Neil
This is an exposition of facts about p-local spectra, p-complete spectra and modules over the p-complete sphere spectrum, including homological criteria for finiteness. Most things are well-known to the experts, with a couple of potential exceptions:
Externí odkaz:
http://arxiv.org/abs/2412.09361
We study the confining and deconfining phases of pure $\mathrm{SU}(3)$ lattice gauge theory with topological data analysis. This provides unique insights into long range correlations of field configurations across the confinement-deconfinement transi
Externí odkaz:
http://arxiv.org/abs/2412.09112
Autor:
Teh, Jyh-Haur
We reformulate the embedding problem in Galois theory as a question within the frameworks of topological and semi-topological Galois theory. We prove that these problems are solvable when the fundamental group of the base space is a free group of cou
Externí odkaz:
http://arxiv.org/abs/2412.08469
Autor:
Leitao, Antonio, Otter, Nina
Persistent homology (PH) is one of the main methods used in Topological Data Analysis. An active area of research in the field is the study of appropriate notions of PH representatives, which allow to interpret the meaning of the information provided
Externí odkaz:
http://arxiv.org/abs/2412.08209
Autor:
Keidar, Shai
We prove that for any prime $p$ and height $n \ge 1$, the telescopic Picard group $\mathrm{Pic}(\mathrm{Sp}_{Tn})$ contains a subgroup of the form $\mathbb{Z}_p \times \mathbb{Z}/a_p(p^n-1)$, where $a_p = 1$ if $p = 2$ and $a_p = 2$ if $p$ is odd. Us
Externí odkaz:
http://arxiv.org/abs/2412.07716
This paper revisits the equivalence problem between algebraic quantum field theories and prefactorization algebras defined over globally hyperbolic Lorentzian manifolds. We develop a radically new approach whose main innovative features are 1.) a str
Externí odkaz:
http://arxiv.org/abs/2412.07318
Autor:
Faridi, Sara, Li, Peilin
Motivated by the fact that as the number of generators of an ideal grows so does the complexity of calculating relations among the generators, this paper identifies collections of monomial ideals with a growing number of generators which have predict
Externí odkaz:
http://arxiv.org/abs/2412.07995
In this note, we study equivariant versions of Stolz' R-groups, the positive scalar curvature structure groups $R_n(X)^G$, for proper actions of discrete groups $G$. We define the concept of a fundamental groupoid functor for a $G$-space, encapsulati
Externí odkaz:
http://arxiv.org/abs/2412.07955