Results 11 to 20 of about 3,969 (116)
Embedding right-angled Artin groups into graph braid groups [PDF]
Geometriae Dedicata, 2006 8 pages. Final version, appears in Geometriae Dedicata.
A. Abrams +10 more
openaire +3 more sources
Helly meets Garside and Artin [PDF]
, 2021 A graph is Helly if every family of pairwise intersecting combinatorial balls has a nonempty intersection. We show that weak Garside groups of finite type and FC-type Artin groups are Helly, that is, they act geometrically on Helly graphs. In particular,
Huang, Jingyin, Osajda, Damian
core +3 more sources
Tensor stable moduli stacks and refined representations of quivers
Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2085-2114, December 2023., 2023 Abstract In this paper, we look at the problem of modular realisations of derived equivalences, and more generally, the problem of recovering a Deligne–Mumford stack X$\mathbb {X}$ and a bundle T$\mathcal {T}$ on it, via some moduli problem (on X$\mathbb {X}$ or A=EndXT$A = \operatorname{End}_{\mathbb {X}} \mathcal {T}$). The key issue is, how does one
Tarig Abdelgadir, Daniel Chan
wiley +1 more source
Interval groups related to finite Coxeter groups Part II
Transactions of the London Mathematical Society, Volume 10, Issue 1, Page 100-123, December 2023., 2023 Abstract We provide a complete description of the presentations of the interval groups related to quasi‐Coxeter elements in finite Coxeter groups. In the simply laced cases, we show that each interval group is the quotient of the Artin group associated with the corresponding Carter diagram by the normal closure of a set of twisted cycle commutators ...
Barbara Baumeister +3 more
wiley +1 more source
Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors
Proceedings of the London Mathematical Society, Volume 127, Issue 3, Page 513-588, September 2023., 2023 Abstract We show that the mesh mutations are the minimal relations among the g${\bm{g}}$‐vectors with respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result to derive geometric properties of the g${\bm{g}}$‐vector fan: we show that the space of all its polytopal realizations is a simplicial cone, and we then ...
Arnau Padrol +3 more
wiley +1 more source
Semisimple four‐dimensional topological field theories cannot detect exotic smooth structure
Journal of Topology, Volume 16, Issue 2, Page 542-566, June 2023., 2023 Abstract We prove that semisimple four‐dimensional oriented topological field theories lead to stable diffeomorphism invariants and can therefore not distinguish homeomorphic closed oriented smooth four‐manifolds and homotopy equivalent simply connected closed oriented smooth four‐manifolds.
David Reutter
wiley +1 more source
Proceedings of the London Mathematical Society, Volume 125, Issue 6, Page 1332-1352, December 2022., 2022 Abstract We generalize the construction of Rouquier complexes to the setting of one‐sided singular Soergel bimodules. Singular Rouquier complexes are defined by taking minimal complexes of restricted Rouquier complexes. We show that they retain many of the properties of ordinary Rouquier complexes: they are Δ$\Delta$‐split, they satisfy a vanishing ...
Leonardo Patimo
wiley +1 more source
Homological stability for Iwahori–Hecke algebras
Journal of Topology, Volume 15, Issue 4, Page 2174-2215, December 2022., 2022 Abstract We show that the Iwahori–Hecke algebras Hn$\mathcal {H}_n$ of type An−1$A_{n-1}$ satisfy homological stability, where homology is interpreted as an appropriate Tor group. Our result precisely recovers Nakaoka's homological stability result for the symmetric groups in the case that the defining parameter is equal to 1.
Richard Hepworth
wiley +1 more source
The paraunitary group of a von Neumann algebra
Bulletin of the London Mathematical Society, Volume 54, Issue 4, Page 1220-1231, August 2022., 2022 Abstract It is proved that the pure paraunitary group over a von Neumann algebra coincides with the structure group of its projection lattice. The structure group of an arbitrary orthomodular lattice (OML) is a group with a right invariant lattice order, and as such it is known to be a complete invariant of the OML.
Carsten Dietzel, Wolfgang Rump
wiley +1 more source
The centralizer of a Coxeter element
Bulletin of the London Mathematical Society, Volume 54, Issue 2, Page 682-693, April 2022., 2022 Abstract We prove that the centralizer of a Coxeter element in an irreducible Coxeter group is the cyclic group generated by that Coxeter element.
Ruwen Hollenbach, Patrick Wegener
wiley +1 more source