3 papers
math.GT2025
Quantum Cocycle Invariants of Knots from Yang-Baxter Cohomology
Masahico Saito, Emanuele Zappala
Yang-Baxter operators (YBOs) have been employed to construct quantum knot invariants. More recently, cohomology theories for YBOs have been independently developed, drawing inspira…
math.QA2025
Yang-Baxter Hochschild Cohomology
Masahico Saito, Emanuele Zappala
Braided algebras are associative algebras endowed with a Yang-Baxter operator that satisfies certain compatibility conditions involving the multiplication. Along with Hochschild co…
math.QA2025
Deformation Cohomology for Braided Commutativity
Masahico Saito, Emanuele Zappala
Braided algebras are algebraic structures consisting of an algebra endowed with a Yang-Baxter operator, satisfying some compatibility conditions.Yang-Baxter Hochschild cohomology w…