Results 101 to 110 of about 476,467 (270)

The Hilton–Milnor theorem in higher topoi

Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1468-1481, May 2025.
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley   +1 more source

Topological indices in condensed matter [PDF]

arXiv
This contribution describes the mathematical theory of topological indices in solid state systems composed of non-interacting Fermions. In particular, this covers the spectral localizer and the bulk-boundary correspondence.
arxiv  

AKSZ construction of topological open p-brane action and Nambu brackets [PDF]

arXiv, 2011
We review the AKSZ construction as applied to the topological open membranes and Poisson sigma models. We describe a generalization to open topological p-branes and Nambu-Poisson sigma models.
arxiv  

The birational geometry of GIT quotients

Bulletin of the London Mathematical Society, EarlyView.
Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley   +1 more source

Index theory and noncommutative geometry of topological insulator [PDF]

arXiv, 2018
In this chapter, we report the recent progress in the understanding of the rich mathematical structures of topological insulators in the framework of index theory and noncommutative geometry.
arxiv  

Removing scalar curvature assumption for Ricci flow smoothing

Bulletin of the London Mathematical Society, EarlyView.
Abstract In recent work of Chan–Huang–Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratios up to a fixed scale, then there exists a Ricci flow for some definite time with estimates on the solution assuming that the local curvature concentration is small ...
Adam Martens
wiley   +1 more source

Classical mathematical structures within topological graph theory [PDF]

arXiv, 2014
Finite simple graphs are a playground for classical areas of mathematics. We illustrate this by looking at some theorems. These are slightly enhanced preparation notes for a talk given at the joint AMS meeting of January 16, 2014 in Baltimore.
arxiv  

Spectra of subrings of cohomology generated by characteristic classes for fusion systems

Bulletin of the London Mathematical Society, EarlyView.
Abstract If F$\mathcal {F}$ is a saturated fusion system on a finite p$p$‐group S$S$, we define the Chern subring Ch(F)${\operatorname{Ch}}(\mathcal {F})$ of F$\mathcal {F}$ to be the subring of H∗(S;Fp)$H^*(S;{\mathbb {F}}_p)$ generated by Chern classes of F$\mathcal {F}$‐stable representations of S$S$. We show that Ch(F)${\operatorname{Ch}}(\mathcal {
Ian J. Leary, Jason Semeraro
wiley   +1 more source

Negative dimension in general and asymptotic topology [PDF]

arXiv, 2006
We introduce the notion of negative topological dimension and the notion of weight for the asymptotic topological dimension. Quantizing of spaces of negative dimension is applied to linguistic statistics.
arxiv  

Rational structure on algebraic tangles and closed incompressible surfaces in the complements of algebraically alternating knots and links(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology) [PDF]

, 2008
M. Ozawa
semanticscholar   +1 more source