In algebraic topology and category theory, factorization homology is a variant of topological chiral homology, motivated by an application to topological quantum field theory and cobordism hypothesis in particular. It was introduced by David Ayala, John Francis, and Nick Rozenblyum.[1]
In algebraic topology and category theory, factorizationhomology is a variant of topological chiral homology, motivated by an application to topological...
Jacob Lurie's topological chiral homology gives an analog for manifolds. Ran space Chiral Lie algebra Factorizationhomology outline of "On the Classification...
survived into the late 1950s. differentiable stack factorizationhomology Kuranishi theory Floer homology Glossary of algebraic topology Timeline of bordism...
{\displaystyle (C\cap W,F)} is a weak factorization system, ( C , F ∩ W ) {\displaystyle (C,F\cap W)} is a weak factorization system W {\displaystyle W} satisfies...
chiral homology of M with coefficients in F. If A is, roughly, a family of commutative algebras parametrized by points in M, then there is a factorizable sheaf...
(Dixon & Mortimer 1996, p. 259). The group homology of Sn is quite regular and stabilizes: the first homology (concretely, the abelianization) is: H 1 (...
\operatorname {H} _{q}(X,A)} is an isomorphism. excisive pair/triad factorizationhomology fiber-homotopy equivalence Given D→B, E→B, a map ƒ:D→E over B is...
speaker in 2010 with talk Fukaya Categories and bordered Heegaard-Floer Homology at the International Congress of Mathematicians in Hyderabad and in 2004...
translations. Chiral algebras can also be reformulated as factorization algebras. Chiral homology Chiral Lie algebra Beilinson, Alexander; Drinfeld, Vladimir...
{\displaystyle a} (these exist and are unique since any PID is also a unique factorization domain). In particular, R {\displaystyle R} is also a Bézout domain...
algebraic variety over any field are algebro-geometric analogs of the homology of a topological space. The elements of the Chow group are formed out of...
cofibrations and weak equivalences satisfying certain lifting and factorization axioms. In what follows, let I = [ 0 , 1 ] {\displaystyle I=[0,1]} denote...
combination is its exponent in the factorization of a {\displaystyle a} , or the negation of its exponent in the factorization of b {\displaystyle b} . The...
which perform both ab initio and homology-based annotation, require fast alignment algorithms to identify regions of homology. In the late 2000s, genome annotation...
birational morphism between projective varieties is a blowup. The weak factorization theorem says that every birational map can be factored as a composition...
a subfield of analytic number theory that deals with prime numbers, factorization and divisors. Multivariable calculus the extension of calculus in one...
Varchenko, Alexander N. (1991). "Arrangement of hyperplanes and Lie algebra homology". Inventiones Mathematicae. 106: 139–194. Bibcode:1991InMat.106..139S....
1-factorable. The perfect 1-factorization conjecture that every complete graph on an even number of vertices admits a perfect 1-factorization. Cereceda's conjecture...
uniquely into prime numbers. Unique factorizations do not always exist in other rings, but Noether found a unique factorization theorem, now called the Lasker–Noether...
groups are a sort of analog of homology groups, and elements of cohomology groups can be thought of as homomorphisms of homology groups using the cap product...
Kühn, Allan Lo, Deryk Osthus, and Andrew Treglown for Proof of the 1-factorization and Hamilton decomposition conjectures Jin-Yi Cai and Xi Chen for Complexity...
algebras and introduced the study of Drinfeld twists, which can be used to factorize the R-matrix corresponding to the solution of the Yang–Baxter equation...
Thabit ibn Qurra's theorem, introducing important new ideas concerning factorization and combinatorial methods. He also gave the pair of amicable numbers...
R[x], then any factorization of its image P in (R/m)[x] into a product of coprime monic polynomials can be lifted to a factorization in R[x]. 2. A Henselian...
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