281 citations · 2.1k across the 53 of their papers we have counts for
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Lagrangian Relations and Quantum Algebras
Branislav Jurčo, Ján Pulmann, Martin Zika
Quantum algebras are higher loop generalizations of cyclic algebras. Motivated by the problem of defining morphisms between such algebras, we construct a line…
Quantum Algebras and the Homological Perturbation Lemma
Martin Doubek, Branislav Jurčo, Ján Pulmann
Quantum algebras are a generalization of algebras with a scalar product and with operations corresponding to higher genus graphs. We construct a minimal model…
Courant Algebroid Connections and String Effective Actions
Branislav Jurco, Jan Vysoky
Courant algebroids are a natural generalization of quadratic Lie algebras, appearing in various contexts in mathematical physics. A connection on a Courant algebroid gives an analo…
AKSZ construction of topological open p-brane action and Nambu brackets
Peter Bouwknegt, Branislav Jurco
We review the AKSZ construction as applied to the topological open membranes and Poisson sigma models. We describe a generalization to open topological p-branes and Nambu-Poisson s…