Results 1 to 10 of about 11,252 (154)
Proto-exact categories of matroids, Hall algebras, and K-theory [PDF]
, 2018 This paper examines the category $\mathbf{Mat}_{\bullet}$ of pointed matroids and strong maps from the point of view of Hall algebras. We show that $\mathbf{Mat}_{\bullet}$ has the structure of a finitary proto-exact category - a non-additive ...
Eppolito, Christopher +2 more
core +1 more source
New mathematical structures in renormalizable quantum field theories [PDF]
, 2002 Computations in renormalizable perturbative quantum field theories reveal mathematical structures which go way beyond the formal structure which is usually taken as underlying quantum field theory.
Broadhurst +27 more
core +3 more sources
Combinatorial Identities and Quantum State Densities of Supersymmetric Sigma Models on N-Folds
, 2005 There is a remarkable connection between the number of quantum states of conformal theories and the sequence of dimensions of Lie algebras. In this paper, we explore this connection by computing the asymptotic expansion of the elliptic genus and the ...
A. A. Bytsenko +21 more
core +1 more source
Alcove path and Nichols-Woronowicz model of the equivariant $K$-theory of generalized flag varieties [PDF]
, 2006 Fomin and Kirillov initiated a line of research into the realization of the cohomology and $K$-theory of generalized flag varieties $G/B$ as commutative subalgebras of certain noncommutative algebras.
Lenart, Cristian, Maeno, Toshiaki
core +1 more source
$C^*$-algebraic drawings of dendroidal sets
, 2019 In recent years the theory of dendroidal sets has emerged as an important framework for higher algebra. In this article we introduce the concept of a $C^*$-algebraic drawing of a dendroidal set. It depicts a dendroidal set as an object in the category of
Mahanta, Snigdhayan
core +1 more source
Stokes posets and serpent nests
, 2015 We study two different objects attached to an arbitrary quadrangulation of a regular polygon. The first one is a poset, closely related to the Stokes polytopes introduced by Baryshnikov.
Chapoton, Frédéric
core +1 more source
KMS weights on higher rank buildings [PDF]
, 2015 We extend some of the results of Carey-Marcolli-Rennie on modular index invariants of Mumford curves to the case of higher rank buildings: we discuss notions of KMS weights on buildings, that generalize the construction of graph weights over graph C ...
Marcinek, Jake, Marcolli, Matilde
core +3 more sources
Rota-Baxter Algebras in Renormalization of Perturbative Quantum Field Theory
, 2006 Recently, the theory of renormalization in perturbative quantum field theory underwent some exciting new developments. Kreimer discovered an organization of Feynman graphs into combinatorial Hopf algebras.
Ebrahimi-Fard, Kurusch, Guo, Li
core +1 more source
Polynomial functors and combinatorial Dyson-Schwinger equations
, 2017 We present a general abstract framework for combinatorial Dyson-Schwinger equations, in which combinatorial identities are lifted to explicit bijections of sets, and more generally equivalences of groupoids.
Bjorken J. D. +15 more
core +1 more source
String Partition Functions, Hilbert Schemes, and Affine Lie Algebra Representations on Homology Groups [PDF]
, 2012 This review paper contains a concise introduction to highest weight representations of infinite dimensional Lie algebras, vertex operator algebras and Hilbert schemes of points, together with their physical applications to elliptic genera of ...
Bonora, Loriano +2 more
core +1 more source