Results 11 to 20 of about 5,500 (151)
Some Consequences of Categorification [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 Several conjectures on acyclic skew-symmetrizable cluster algebras are proven as direct consequences of their categorification via valued quivers. These include conjectures of Fomin-Zelevinsky, Reading-Speyer, and Reading-Stella related to $\mathbf{d ...
Rupel, Dylan, Stella, Salvatore
core +3 more sources
Identity and Categorification [PDF]
Philosophia Scientiæ, 2007 In this paper I consider the standard approach to identity in mathematics originating from Frege’s and Russell’s works and contrast it with alternative approaches due to Plato and Geach.
Andrei Rodin
doaj +4 more sources
A categorification of the chromatic symmetric polynomial [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Stanley chromatic polynomial of a graph $G$ is a symmetric function generalization of the chromatic polynomial, and has interesting combinatorial properties.
Radmila Sazdanović, Martha Yip
doaj +3 more sources
, 2016 We describe a number of geometric contexts where categorification appears naturally: coherent sheaves, constructible sheaves and sheaves of modules over quantizations.
Webster, Ben
core +2 more sources
Categorification of characteristic structures
Forum of Mathematics, SigmaWe develop a representation theory of categories as a means to explore characteristic structures in algebra. Characteristic structures play a critical role in isomorphism testing of groups and algebras, and their construction and description often rely ...
Peter A. Brooksbank +4 more
doaj +3 more sources
Categorification in Representation Theory [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 Alistair Savage +2 more
doaj +2 more sources
Categorification of Persistent Homology [PDF]
Discrete & Computational Geometry, 2014 27 pages, v3: minor changes, to appear in Discrete & Computational ...
Peter Bubenik, Jonathan A. Scott
openaire +3 more sources
Categorification of Seidel’s representation [PDF]
Israel Journal of Mathematics, 2015 Two natural symplectic constructions, the Lagrangian suspension and Seidel's quantum representation of the fundamental group of the group of Hamiltonian diffeomorphisms, Ham(M), with (M,ω) a monotone symplectic manifold, admit categorifications as actions of the fundamental groupoid Π(Ham(M)) on a cobordism category recently introduced in \cite{Bi-Co ...
Charette, F., Cornea, O.
openaire +4 more sources
A categorification of the Vandermonde determinant [PDF]
Journal of Knot Theory and Its Ramifications, 2021 In the spirit of Bar-Natan’s construction of Khovanov homology, we give a categorification of the Vandermonde determinant. Given a sequence of positive integers [Formula: see text], we construct a complex of colored smoothings of the two-strand torus link [Formula: see text] in the shape of the Bruhat order on [Formula: see text], and apply a ...
openaire +2 more sources
Categorification of the Catalan monoid [PDF]
Semigroup Forum, 2013 11 ...
Grensing, Anna-Louise +1 more
openaire +2 more sources