Related papers: A factorization homology primer

In this paper we use the equivariant version of factorization homology constructed using the parametrized higher category theory and show that it can be used to describe the results used in the series of papers.

Computations in the cohomology of finite groups.

We show some elementary facts about the semantical analogue of Parikh's Splitting, which we call Factorization.

We compute the factorization homology of a polynomial algebra over a compact and closed manifold with trivialized tangent bundle up to weak equivalence in a new way. This calculation is based on the model of a graph complex and an explicit…

In this short review, I'll discuss the background, applicability and prospects of collinear factorization in quantum chromodynamics.

In this paper, we state a conjecture on the prime factorization of numbers of the form $n!+1$, explore its implications, and compare it with empirical evidence and established results based on the $abc$ conjecture.

We obtain the double factorization of braided bialgebras or braided Hopf algebras, give relation among integrals and semisimplicity of braided Hopf algebra and its factors.

Fracture functions and their evolution equations are reviewed. Some phenomenological applications are briefly discussed.

We study polytopes associated to factorisations of prime powers. These polytopes have explicit descriptions either in terms of their vertices or as intersections of closed halfspaces associated to their facets. We give formulae for their…

Following our previous work, we develop an algorithm to compute a presentation of the fundamental group of certain partial compactifications of the complement of a complex arrangement of lines in the projective plane. It applies, in…

This is a draft of a chapter on mathematical logic and foundations for an upcoming handbook of computational proof assistants.

We compute numerically the homology of several graph complexes in low loop orders, extending previous results.

Prime factorization is an outstanding problem in arithmetic, with important consequences in a variety of fields, most notably cryptography. Here we employ the intriguing analogy between prime factorization and optical interferometry in…

This is a survey of knot contact homology, with an emphasis on topological, algebraic, and combinatorial aspects.

Over the past two decades, topological data analysis has emerged as a field of applied mathematics with new applications and algorithmic developments appearing rapidly. Two fundamental computations in this field are persistent homology and…

In this article, we define the notion of a filtration and then give the basic theorems on initial and progressive enlargements of filtrations.

We give a compact expression for the number of factorizations of any permutation into a minimal number of transpositions of the form $(1 i)$. Our result generalizes earlier work of Pak in which substantial restrictions were placed on the…

We consider a refinement of triangular factorization for unitary matrix valued loops.

This article is part introduction and part survey to the mathematical area centered around local cohomology.

In this note we describe a new method of counting the number of unordered factorizations of a natural number by means of a generating function and a recurrence relation arising from it, which improves an earlier result in this direction.