Results 21 to 30 of about 4,802 (77)

Dimension functions for spherical fibrations

, 2018
Given a spherical fibration $\xi$ over the classifying space $BG$ of a finite group we define a dimension function for the $m-$fold fiber join of $\xi$ where $m$ is some large positive integer. We show that the dimension functions satisfy the Borel-Smith
Okay, Cihan, Yalcin, Ergun
core   +2 more sources

The motive of the Hilbert scheme of points in all dimensions

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo, Sergej Monavari, Riccardo Moschetti, Andrea T. Ricolfi   +3 more
wiley   +1 more source

The Tate Thomason Conjecture [PDF]

, 2019
We prove The Tate Thomason conjecture through Theorem 2.2. Fundamental is the work of R W Thomson and the proof also rests upon the theory of infinite abelian groups.Comment: 9 pages.
Morteo, Marcelo Gomez
core   +2 more sources

Homotopical resolutions associated to deformable adjunctions

, 2014
Given an adjunction connecting reasonable categories with weak equivalences, we define a new derived bar and cobar construction associated to the adjunction.
Andrew J Blumberg, Arone, Bousfield, Dwyer, Elmendorf, Emily Riehl, Lurie, Rezk, Riehl, Riehl, Schanuel   +10 more
core   +1 more source

Local equivalence and refinements of Rasmussen's s‐invariant

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield, Robert Lipshitz, Dirk Schütz   +2 more
wiley   +1 more source

Assembly of constructible factorization algebras

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson, Claudia I. Scheimbauer, Tashi Walde   +2 more
wiley   +1 more source

The ∞$\infty$‐categorical reflection theorem and applications

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
wiley   +1 more source

The DNA of Calabi–Yau Hypersurfaces

Fortschritte der Physik, Volume 74, Issue 2, February 2026.
Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden, Andreas Schachner, Elijah Sheridan   +2 more
wiley   +1 more source

Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains

Advanced Science, Volume 13, Issue 2, 9 January 2026.
In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Yufu Liu, Yunlin Li, Jingguang Chen, Xianjun Wang, Haoran Zhang, Fang Guan, Xunya Jiang   +6 more
wiley   +1 more source

Morita homotopy theory of C*-categories

, 2011
In this article we establish the foundations of the Morita homotopy theory of C*-categories. Concretely, we construct a cofibrantly generated simplicial symmetric monoidal Quillen model structure M_Mor on the category C*cat1 of small unital C*-categories.
Beer, Blackadar, Blecher, Brown, Davis, DellʼAmbrogio, Doplicher, Doplicher, Dwyer, Ghez, Gonçalo Tabuada, Hirschhorn, Hovey, Ivo DellʼAmbrogio, Joachim, Kandelaki, Kandelaki, Kandelaki, Kandelaki, Karoubi, Karoubi, Kelly, Lance, Loring, Loring, Mac Lane, Mitchener, Mitchener, Mitchener, Mitchener, Raeburn, Rieffel, Rieffel, Rørdam, Thomason, Vasselli, Vasselli, Zito   +37 more
core   +2 more sources