4 papers
Instantons and vortices on noncommutative toric varieties
Lucio S. Cirio, Giovanni Landi, Richard J. Szabo
We elaborate on the quantization of toric varieties by combining techniques from toric geometry, isospectral deformations and noncommutative geometry in braided monoidal categories…
Connected components of compact matrix quantum groups and finiteness conditions
Lucio S. Cirio, Alessandro D'Andrea, Claudia Pinzari +1
We introduce the notion of identity component of a compact quantum group and that of total disconnectedness. As a drawback of the generalized Burnside problem, we note that totally…
Twisted noncommutative equivariant cohomology: Weil and Cartan models
Lucio Cirio
We propose Weil and Cartan models for the equivariant cohomology of noncommutative spaces which carry a covariant action of Drinfel'd twisted symmetries. The construction is sugges…
Equivariant cohomology and localization for Lie algebroids
U. Bruzzo, L. Cirio, P. Rossi +1
Let M be a manifold carrying the action of a Lie group G, and A a Lie algebroid on M equipped with a compatible infinitesimal G-action. Out of these data we construct an equivarian…