VOLTAGE AND DERIVED QUANTUM GRAPHS

Speaker(s)

MARIUSZ TOBOLSKI

Affiliation

Uniwersytet Wrocławski, Poland

Language of the talk

English

Date

Oct. 14, 2026, 5:15 p.m.

Title in Polish

VOLTAGE AND DERIVED QUANTUM GRAPHS

Seminar

North Atlantic Noncommutative Geometry Seminar

A voltage graph is a directed graph whose edges are labeled by elements of a group G. A classical construction of Gross and Tucker associates to every voltage graph with a vertex set V a derived graph with the vertex set V×G. We generalize their construction to the setting of quantum graphs and finite abelian groups. Remarkably, the construction can produce genuine quantum graphs starting from a classical voltage graph. In this case, the obtained quantum graph is quantum isomorphic to a classical graph. Based on joint work with Björn Schäfer.