Results 71 to 80 of about 6,556,269 (259)

On the Real Homotopy Type of Generalized Complex Nilmanifolds

Mathematics, 2020
We prove that for any n≥4, there are infinitely many real homotopy types of 2n-dimensional nilmanifolds admitting generalized complex structures of every type k, for 0≤k≤n.
Adela Latorre, Luis Ugarte, Raquel Villacampa   +2 more
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Ambidexterity in chromatic homotopy theory

Inventiones Mathematicae, 2018
We extend the theory of ambidexterity developed by M. J. Hopkins and J. Lurie and show that the ∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \
Shachar Carmeli, T. Schlank, Lior Yanovski   +2 more
semanticscholar   +1 more source

Homotopy Type Theory: The Logic of Space [PDF]

New Spaces in Mathematics, 2017
This is an introduction to type theory, synthetic topology, and homotopy type theory from a category-theoretic and topological point of view, written as a chapter for the book "New Spaces for Mathematics and Physics" (ed. Gabriel Catren and Mathieu Anel).
Michael Shulman
semanticscholar   +1 more source

Homological Localisation of Model Categories [PDF]

, 2013
One of the most useful methods for studying the stable homotopy category is localising at some spectrum E. For an arbitrary stable model category we introduce a candidate for the E–localisation of this model category. We study the properties of this new
Roitzheim, Constanze, Constanze Roitzheim, David Barnes, Barnes, David, Barnes, David; id_orcid   +4 more
core   +1 more source

Homotopy in statistical physics

Condensed Matter Physics, 2006
In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects.
R.Kenna
doaj   +1 more source

Approximate fixed points and fixed points for multi-valued almost E-contractions

Topological Algebra and its Applications, 2021
In this paper, we introduce the concept of multi-valued almost E-contractions. We then present some approximate fixed point and fixed point results for such mappings in metric spaces.
Hoc Nguyen Huu
doaj   +1 more source

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

Homotopy covers of graphs

Electronic Journal of Graph Theory and Applications
We develop a theory of ×-homotopy, fundamental groupoids and covering spaces that applies to non-simple graphs, generalizing existing results for simple graphs.
Tien Chih, Laura Scull
doaj   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source