arXiv subjects

Gefry Barad

Publications and source records attributed to Gefry Barad.

3 recordsLinked to original sources

arXiv2013

Solutions for the quasi-Yang-Baxter equation. Diagrammatics, axioms and semi-classical approximations

We generalize Nichita, Popovici and Tanasa solutions of the Braid equation to quasi-Yang-Baxter equation. We define quasi-braided Lie algebras in an additive monoidal category as a natural generalization of Majid's braided Lie algebra concept. Quasi-braided Lie algebras provide solutions for the quasi-Yang-Baxter equation. Examples came from Lie algebras in additive monoidal categories with non-strict associativity and from the theory of quasi-triangular quasi-Hopf algebras.

math.QA↗

arXiv2002

The Homology of the real moduli spaces \bar(M)_(0,n)

We compute the rank of the first homology group and we study the higher Betti numbers of the real points of the Deligne-Mumford-Knudsen compactification of stable n-pointed curves of genus 0,which coincides with the Chow quotient (RP^1)^n//PGL(2,R)(after Kapranov).

math.AG↗

arXiv2002

Non-trivial 1-classes in the homology of the real moduli spaces M-bar_{0,n} and related structures

We give lower bounds for the rank of the first homology group of the real points of the Deligne-Mumford-Knudsen compactification of stable n-pointed curves of genus 0,which coincides with the Chow quotient (RP^1)^n//PGL(2,R).The study has connections with spectral geometry and combinatorics.

math.AT↗