Results 41 to 50 of about 2,866 (99)
$q$-Gaussian processes: non-commutative and classical aspects
, 1995 We examine, for ...
Bozejko, Marek +2 more
core +3 more sources
Floer theory for the variation operator of an isolated singularity
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae +3 more
wiley +1 more source
Lexicographic Effect Algebras [PDF]
, 2014 In the paper we investigate a class of effect algebras which can be represented in the form of the lexicographic product $\Gamma(H\lex G,(u,0))$, where $(H,u)$ is an Abelian unital po-group and $G$ is an Abelian directed po-group.
Dvurečenskij, Anatolij
core
Structure theorems for braided Hopf algebras
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley +1 more source
Genus bounds from unrolled quantum groups at roots of unity
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract For any simple complex Lie algebra g$\mathfrak {g}$, we show that the degrees of the “ADO” link polynomials coming from the unrolled restricted quantum group U¯qH(g)$\overline{U}^H_q(\mathfrak {g})$ at a root of unity give lower bounds to the Seifert genus of the link.
Daniel López Neumann +1 more
wiley +1 more source
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
A universal finite‐type invariant of knots in homology 3‐spheres
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract An essential goal in the study of finite‐type invariants of some objects (knots, manifolds) is the construction of a universal finite‐type invariant, universal in the sense that it contains all finite‐type invariants of the given objects. Such a universal finite‐type invariant is known for knots in the 3‐sphere — the Kontsevich integral — and ...
Benjamin Audoux, Delphine Moussard
wiley +1 more source
Sequences suffice for pointfree uniform completions
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract Completions of metric spaces are usually constructed using Cauchy sequences. However, this does not work for general uniform spaces, where Cauchy filters or nets must be used instead. The situation in pointfree topology is more straightforward: the correct completion of uniform locales can indeed be obtained as a quotient of a locale of Cauchy
Graham Manuell
wiley +1 more source
From abstraction to reality: DARPA's vision for robust sim‐to‐real autonomy
AI Magazine, Volume 46, Issue 2, Summer 2025.Abstract The DARPA Transfer from Imprecise and Abstract Models to Autonomous Technologies (TIAMAT) program aims to address rapid and robust transfer of autonomy technologies across dynamic and complex environments, goals, and platforms. Existing methods for simulation‐to‐reality (sim‐to‐real) transfer often rely on high‐fidelity simulations and ...
Erfaun Noorani +3 more
wiley +1 more source
Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]
J Math Biol, 2023 Walker C.
europepmc +1 more source