Constructing Comparison Morphisms Via Algebraic Morse Theory

Posted on:2019-10-20

Degree:Master

Type:Thesis

Country:China

Candidate:Q Duan

Full Text:PDF

GTID:2370330566960543

Subject:Basic mathematics

Abstract/Summary:

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We apply algebraic Morse theory to polynomial algebra and quantum polynomial algebra to obtain the two-sided Koszul resolution and the comparison morphisms between the two-sided Koszul resolution and the two-sided Bar resolution.This recoves results of D.Naidu,P.Shroff,S.Witherspoon and G.Zhou etc.

Keywords/Search Tags:

Algebraic Morse theory, Comparison morphism, Hochschild cohomology, Noncommutative Gr (?)bner-Shirshov basis, Polynomial algebra, Quantum polynomial algebra

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