1 day ago · Comments: 40 pages; all comments welcome! Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG); Category Theory (math.CT).

Oct 22, 2024 · This paper explores the significant impact of algebraic topology on diverse real-world applications.

Oct 23, 2024 · This overview article makes the case for how topological concepts can enrich research in machine learning. Using the Euler Characteristic Transform (ECT), a ...

Oct 28, 2024 · A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".

Nov 1, 2024 · We study the topological complexity, in the sense of Smale, of three enumerative problems in algebraic geometry: finding the 27 lines on cubic surfaces, ...

Oct 31, 2024 · AGT : Algebraic and Geometric Topology, v. 8 (2008), no. 3, p. 1223-1247. This highly cited paper in a top 15 publication venue in Geometry developed the ...

Oct 22, 2024 · In particular, it is assumed that the reader knows algebraic topology fairly thoroughly, with cobordism being treated here as an application of topology. In ...

Oct 19, 2024 · This paper generalizes the Dehn twists by proposing the notion of pre-twisted space, orientations of twists and the formation of pointed based space under a ...

Oct 30, 2024 · Explore the latest full-text research PDFs, articles, conference papers, preprints and more on GENERAL TOPOLOGY. Find methods information, sources, ...

8 hours ago · The proof combines a number of techniques from Hamiltonian complexity and algebraic topology. As we discuss, a version of the problems satisfying a suitable ...