Results 21 to 30 of about 94 (89)
Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps
Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama +2 more
wiley +1 more source
On the paper “Bundle gerbes” by Michael Murray
Abstract The article gives a brief survey of Murray's notion of bundle gerbes as introduced in his 1996 paper published in the Journal of the London Mathematical Society, together with some of its applications.
Nigel Hitchin
wiley +1 more source
Uniformly Continuous Functionals and Operators Commuting with Lebesgue–Fourier Algebras
Let G be a locally compact group. This paper investigates the space of uniformly continuous functionals associated with the Lebesgue–Fourier algebra on G. Our aim is to describe the dual of this space in terms of bounded operators on the dual of the Lebesgue–Fourier algebra that commute with the natural module action, and to determine exactly when this
Maryam Esfandani +2 more
wiley +1 more source
Real models for the framed little n$n$‐disks operads
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
About pushouts in the category φ(B) of Segal topological algebras; pp. 319–323
In this paper, we answer positively the open question, posed in [2], about the existence of pushouts in the category Ï(B) of Segal topological algebras.
openaire +1 more source
Parametrized stability and the universal property of global spectra
Abstract We develop a framework of parametrized semiadditivity and stability with respect to so‐called atomic orbital subcategories of an indexing ∞$\infty$‐category T$T$, extending work of Nardin. Specializing this framework, we introduce global ∞$\infty$‐categories and the notions of equivariant semiadditivity and stability, yielding a higher ...
Bastiaan Cnossen +2 more
wiley +1 more source
Topological K‐theory of quasi‐BPS categories for Higgs bundles
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley +1 more source
Probabilistic verification in mechanism design
We introduce a model of probabilistic verification in mechanism design. The principal elicits a message from the agent and then selects a test to give the agent. The agent's true type determines the probability with which he can pass each test. We characterize whether each type has an associated test that best screens out all other types.
Ian Ball, Deniz Kattwinkel
wiley +1 more source
Holomorphic field theories and higher algebra
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
The conjugacy problem for ascending HNN‐extensions of free groups
Abstract We give an algorithm to solve the Conjugacy Problem for ascending HNN‐extensions of free groups. To do this, we give algorithms to solve certain problems on dynamics of free group endomorphisms.
Alan D. Logan
wiley +1 more source

