Results 21 to 30 of about 92 (72)
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
wiley +1 more source
Averaging multipliers on locally compact quantum groups
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws +2 more
wiley +1 more source
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
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 category of a partitioned fan
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract In this paper the notion of an admissible partition of a simplicial polyhedral fan is introduced and the category of a partitioned fan is defined as a generalisation of the τ$\tau$‐cluster morphism category of a finite‐dimensional algebra. This establishes a complete lattice of categories around the τ$\tau$‐cluster morphism category, which is ...
Maximilian Kaipel
wiley +1 more source
Chow rings of matroids as permutation representations
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Given a matroid with a symmetry group, we study the induced group action on the Chow ring of the matroid with respect to symmetric building sets. This turns out to always be a permutation action. Work of Adiprasito, Huh and Katz showed that the Chow ring satisfies Poincaré duality and the Hard Lefschetz theorem.
Robert Angarone +2 more
wiley +1 more source
On the homology of big mapping class groups
Journal of Topology, Volume 17, Issue 4, December 2024.Abstract We prove that the mapping class group of the one‐holed Cantor tree surface is acyclic. This in turn determines the homology of the mapping class group of the once‐punctured Cantor tree surface (i.e. the plane minus a Cantor set), in particular answering a recent question of Calegari and Chen.
Martin Palmer, Xiaolei Wu
wiley +1 more source
Isometries of Lipschitz‐free Banach spaces
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We describe surjective linear isometries and linear isometry groups of a large class of Lipschitz‐free spaces that includes, for example, Lipschitz‐free spaces over any graph. We define the notion of a Lipschitz‐free rigid metric space whose Lipschitz‐free space only admits surjective linear isometries coming from surjective dilations (i.e ...
Marek Cúth +2 more
wiley +1 more source
On Weil–Stark elements, I: Construction and general properties
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We construct a canonical family of elements in the reduced exterior powers of unit groups of global fields and investigate their detailed arithmetic properties. We then show that these elements specialise to recover the classical theory of cyclotomic elements in real abelian fields and also have connections to the theory of non‐commutative ...
David Burns +2 more
wiley +1 more source
A Density of Ramified Primes. [PDF]
Res Number Theory, 2022 Chan S, McMeekin C, Milovic D.
europepmc +1 more source