Results 91 to 100 of about 51,088 (236)
Parity of ranks of Jacobians of curves
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser +3 more
wiley +1 more source
Virtually Cocompactly Cubulated Artin–Tits Groups [PDF]
International Mathematics Research Notices, 2020 Abstract We give a conjectural classification of virtually cocompactly cubulated Artin–Tits groups (i.e., having a finite index subgroup acting geometrically on a CAT(0) cube complex), which we prove for all Artin–Tits groups of spherical type, FC type, or two-dimensional type.
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Some Aspects of Mathematical and Physical Approaches for Topological Quantum Computation [PDF]
Computer Science Journal of Moldova, 2011 A paradigm to build a quantum computer, based on topological invariants is highlighted. The identities in the ensemble of knots, links and braids originally discovered in relation to topological quantum field theory are shown: how they define Artin ...
V. Kantser
doaj
Homogeneous braids are visually prime
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract We show that closures of homogeneous braids are visually prime, addressing a question of Cromwell. The key technical tool for the proof is the following criterion concerning primeness of open books, which we consider to be of independent interest.
Peter Feller +2 more
wiley +1 more source
Results on Artin and twisted Artin groups
, 2022 Questa tesi consiste in tre capitoli principali, e tutti si evolvono intorno ai gruppi di Artin. Dimostrare risultati per tutti i gruppi di Artin è una sfida seria, quindi di solito ci si concentra su particolari sottoclassi. Tra le sottofamiglie più conosciute dei gruppi di Artin c'è la famiglia dei gruppi Artin ad angolo retto (RAAGs in breve). Si
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, 2013 We compute the BNS-invariant for the pure symmetric automorphism groups of right-angled Artin groups. We use this calculation to show that the pure symmetric automorphism group of a right-angled Artin group is itself not a right-angled Artin group ...
Koban, Nic, Piggott, Adam
core
Journal of High Energy PhysicsFibonacci anyons ε provide the simplest possible model of non-Abelian fusion rules: [1] × [1] = [0] ⊕ [1]. We propose a conformal field theory construction of topological quantum registers based on Fibonacci anyons realized as quasiparticle excitations ...
Ludmil Hadjiivanov, Lachezar S. Georgiev
doaj +1 more source
, 2019 Right-angled Artin groups form an interesting family of groups both from analgebraic and a topological point of view. There are a lot of well-known propertiesof right-angled Artin groups: for example they are poly-free, locallyindicable, right orderable and residually finite.
Blasco García, Rubén +2 more
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