Results 111 to 120 of about 1,252,117 (301)

Local equivalence and refinements of Rasmussen's s‐invariant

open access: yesJournal 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   +2 more
wiley   +1 more source

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

open access: yesJournal 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

Social choice and game theory: recent results with a topological approach [PDF]

open access: yes
This chapter presents a summary of recent results obtained in game and social choice theories, and highlights the application and the development of tools in algebraic topology.
Chichilnisky, Graciela
core   +1 more source

WDVV‐based recursion for open Gromov–Witten invariants

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley   +1 more source

Entropy rigidity for cusped Hitchin representations

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary   +2 more
wiley   +1 more source

Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
New algebraic relations are presented, involving anticommuting Grassmann variables and Berezin integral, and corresponding naturally to Pachner moves in three and four dimensions.
Igor G. Korepanov
doaj   +1 more source

Machine Learning Assisted Fluorescent Sensor Array for Sensing Applications

open access: yesAdvanced Sensor Research, Volume 5, Issue 2, February 2026.
Chemical analysis is being revolutionized by the combination of the high‐dimensional, multi‐channel signals generated by fluorescent sensor arrays and the powerful data analysis enabled by machine learning. This review covers state‐of‐the‐art studies that use machine learning techniques for the identification and quantification of fluorescent sensor ...
Haobo Guo   +2 more
wiley   +1 more source

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