Results 41 to 50 of about 122,682,365 (71)
Cartwright–Sturmfels Hilbert schemes
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley +1 more source
h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley +1 more source
Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Applications of Computational Algebraic Topology [PDF]
, 2016 En este texto describimos un curso impartido en el congreso \UN Encuentro de Matemáticas 2016" que tuvo lugar en Bogotá (Colombia). El curso fue dividido en cuatro partes. En la primera se presentaron defniciones básicas de la Topología Algebraica.
Rubio García, Julio
core +1 more source
Pinwheels in symplectic rational and ruled surfaces and non‐squeezing of rational homology balls
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We use almost toric fibrations and the symplectic rational blow‐up to determine when certain Lagrangian pinwheels, which we call liminal, embed in symplectic rational and ruled surfaces. The case of L2,1$L_{2,1}$‐pinwheels, namely Lagrangian RP2s$\mathbb {R}P^2{\rm s}$, answers a question of Kronheimer in the negative, exhibiting a symplectic ...
Nikolas Adaloglou, Johannes Hauber
wiley +1 more source
Developments in noncommutative differential geometry [PDF]
, 2002 One of the great outstanding problems of theoretical physics is the quantisation of gravity, and an associated description of quantum spacetime. It is often argued that, at short distances, the manifold structure of spacetime breaks down and is replaced ...
Hale, Mark
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Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley +1 more source
Interaction homotopy and interaction homology [PDF]
, 2023 Interactions in complex systems are widely observed across various fields, drawing increased attention from researchers. In mathematics, efforts are made to develop various theories and methods for studying the interactions between spaces.
Chen, Dong, Wei, Guo-Wei, Liu, Jian
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COLLARED COSPANS, COHOMOTOPY AND TQFT (COSPANS IN ALGEBRAIC TOPOLOGY, II)
, 2007 Topological cospans and their concatenation, by pushout, appear in the theories of tangles, ribbons, cobordisms, etc. Various algebraic invariants have been introduced for their study, which it would be interesting to link with the standard tools of ...
Marco Grandis
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