Results 31 to 40 of about 15,314 (98)
Skein theory for the Links–Gould polynomial
Abstract Building further on work of Marin and Wagner, we give a cubic braid‐type skein theory of the Links–Gould polynomial invariant of oriented links and prove that it can be used to evaluate any oriented link, adding this polynomial to the list of polynomial invariants that can be computed by skein theory. As a consequence, we prove that this skein
Stavros Garoufalidis +5 more
wiley +1 more source
A P‐adic class formula for Anderson t‐modules
Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley +1 more source
Remarks on subcategories of artinian modules [PDF]
We study two subcategories of the category of artinian modules, a wide subcategory and a Serre subcategory. We prove that all wide subcategories of artinian modules are Serre subcategories.
Hiramatsu, Naoya
core
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
Neurons embedded in loop‐like motifs act as central hubs for brain‐wide integration
Abstract figure legend Neurons form loop‐like triplet motifs in which activity originates in Areai, propagates to an external Areaj and returns to Areai. Neurons participating in these loops act as major external hubs, forming pairwise assemblies with neurons across multiple other areas (A–N).
Fabrizio Londei +6 more
wiley +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects
Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold +3 more
wiley +1 more source
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley +1 more source
Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum. [PDF]
Bik A, Danelon A, Draisma J.
europepmc +1 more source
p-adic vertex operator algebras. [PDF]
Franc C, Mason G.
europepmc +1 more source

