On The Algebraic Structure Of Combinatorial Problems by P.G.Jeavons

On Priestley spaces of lattice-ordered algebraic structures by Martinez, N, Priestley, H

On the algebraic structure of iterated integrals of quasimodular forms by Matthes, N

Vanishing of the Batalin-Vilkovisky algebra structure for TCFTs by Tillmann, U

On the topology of algebraic surfaces and reduction modulo p by Joe, D, Kim, M

“…We show that the topology of a simply-connected smooth projective surface is determined by its algebraic structure modulo p.…”

On finitely generated profinite groups I: strong completeness and uniform bounds by Nikolov, N, Segal, D

“…We prove that in every finitely generated profinite group, every subgroup of finite index is open; this implies that the topology on such groups is determined by the algebraic structure. This is deduced from the main result about finite groups: let $w$ be a `locally finite' group word and $d\in\mathbb{N}$. …”

Irrationality proofs for zeta values, moduli spaces and dinner parties by Brown, F

“…This construction yields Ap´ery’s approximations to ζ(2) and ζ(3), and for larger n, an infinite family of small linear forms in multiple zeta values with an interesting algebraic structure. It also contains a generalisation of the linear forms used by Ball and Rivoal to prove that infinitely many odd zeta values are irrational.…”

Conformal nets IV: the 3-category by Bartels, A, Douglas, C, Henriques, A

“…This 3-category encodes the algebraic structure of the possible interactions among conformal field theories. …”

Conformal nets and local field theory by Douglas, C, Bartels, A, Henriques, A

“…Altogether we characterize the algebraic structure of the collection of conformal nets as a symmetric monoidal tricategory. …”

An Exact Formulation of the Time-Ordered Exponential using Path-Sums by Giscard, P, Lui, K, Thwaite, S, Jaksch, D

“…Our result is based on a representation of the time-ordered exponential as the inverse of an operator, the mapping of this inverse to sums of walks on graphs and the algebraic structure of sets of walks. We give examples demonstrating our approach. …”

VOAs and rank-two instanton SCFTs by Beem, C, Meneghelli, C, Peelaers, W, Rastelli, L

“…These realizations transparently reflect the algebraic structure of the Higgs branches of these theories. …”

From the XXZ chain to the integrable Rydberg-blockade ladder via non-invertible duality defects by Eck, L, Fendley, P

“…The maps can be non-invertible, as apparent in the canonical example of Kramers and Wannier. We analyse an algebraic structure common to the XXZ spin chain and three other models: Rydberg-blockade bosons with one particle per square of a ladder, a three-state antiferromagnet, and two Ising chains coupled in a zigzag fashion. …”

Free field realisation of the chiral universal centraliser by Beem, C, Nair, S

“…Using this embedding and some observations on the Poisson algebraic structure of ZG, we propose a free field realisation of the chiral universal centraliser for any simple group G. …”

Free field realisation of the chiral universal centraliser by Beem, C, Nair, S

“…Using this embedding and some observations on the Poisson algebraic structure of ZG , we propose a free field realisation of the chiral universal centraliser for any simple group G. …”

Global conformal invariants of submanifolds by Mondino, A, Nguyen, HT

“…The goal of the present paper is to investigate the algebraic structure of global conformal invariants of submanifolds. …”

Defining and classifying TQFTs via surgery by Juhasz, A

“…Finally, we use it to classify (2+1)-dimensional TQFTs in terms of J-algebras, a new algebraic structure that consists of a split graded involutive nearly Frobenius algebra endowed with a certain mapping class group representation. …”

Combinatorial problems raised from 2-semilattices by Bulatov, A

“…Jeavons, On the algebraic structure of combinatorial problems, Theoret. …”

The compositional structure of multipartite quantum entanglement by Coecke, B, Kissinger, A

“…We identify those states, named Frobenius states, which canonically induce an algebraic structure, namely the structure of a commutative Frobenius algebra (CFA). …”

Numerical simulation of the time-fractional Fokker--Planck equation and applications to polymeric fluids by Beddrich, J, Suli, E, Wohlmuth, B

“…We propose an efficient implementation strategy based on the algebraic structure of the discretized time-fractional Fokker–Planck equation, which significantly reduces the computational cost.…”

The Dynkin diagram cohomology of finite Coxeter groups by Rouquier, R, Laredo, V

“…The Dynkin complex C D (A) of a D-algebra A was introduced by the second author to control the deformations of quasi-Coxeter algebra structures on A. In the present paper, we study the cohomology of this complex when A is the group algebra of a Coxeter group W and D is the Dynkin diagram of W. …”