Results 41 to 50 of about 31,057 (122)

Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
wiley   +1 more source

Traces on the uniform tracial completion of Z$\mathcal {Z}$‐stable C∗${\rm C}^*$‐algebras

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract The uniform tracial completion of a C∗${\rm C}^*$‐algebra A$A$ with compact trace space T(A)≠∅$T(A) \ne \emptyset$ is obtained by completing the unit ball with respect to the uniform 2‐seminorm ∥a∥2,T(A)=supτ∈T(A)τ(a∗a)1/2$\Vert a\Vert _{2,T(A)}=\sup _{\tau \in T(A)} \tau (a^*a)^{1/2}$. The trace problem asks whether every trace on the uniform
Samuel Evington
wiley   +1 more source

The Picard group in equivariant homotopy theory via stable module categories

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley   +1 more source

Geometric Realization of the Segal--Sugawara Construction

, 2003
We apply the technique of localization for vertex algebras to the Segal-Sugawara construction of an ``internal'' action of the Virasoro algebra on affine Kac-Moody algebras.
Ben-Zvi, David, Frenkel, Edward
core   +2 more sources

Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
wiley   +1 more source

Integrable lattice models from four-dimensional field theories [PDF]

, 2013
This note gives a general construction of an integrable lattice model (and a solution of the Yang-Baxter equation with spectral parameter) from a four-dimensional field theory which is a mixture of topological and holomorphic.
Costello, Kevin J.
core  

The Mumford conjecture (after Bianchi)

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley   +1 more source

About pushouts in the category φ(B) of Segal topological algebras; pp. 319–323

Proceedings of the Estonian Academy of Sciences, 2019
In this paper, we answer positively the open question, posed in [2], about the existence of pushouts in the category φ(B) of Segal topological algebras.
openaire   +1 more source

On the parameterized Tate construction

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension Ĝ$\widehat{G}$ of a finite group G$G$ by a compact Lie group K$K$, which we call the parameterized Tate construction (−)tGK$(-)^{t_G K}$.
J. D. Quigley, Jay Shah
wiley   +1 more source

The Poincaré‐extended ab$\mathbf {a}\mathbf {b}$‐index

Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.
Abstract Motivated by a conjecture concerning Igusa local zeta functions for intersection posets of hyperplane arrangements, we introduce and study the Poincaré‐extended ab$\mathbf {a}\mathbf {b}$‐index, which generalizes both the ab$\mathbf {a}\mathbf {b}$‐index and the Poincaré polynomial.
Galen Dorpalen‐Barry, Joshua Maglione, Christian Stump   +2 more
wiley   +1 more source