Quantization of Geometry Associated with the qKZ Equation
by
Alexander Varchenko
University of North Carolina at Chapel Hill

Cohomology groups of the complement to an arrangement with coefficients in a local system were a subject of recent studies. The quantum Kniznik-Zamolodchikov difference equation suggests a discrete version of this topic, in which powers of linear functions are replaced by gamma functions, such geometric objects like cycles are replaced by exponential functions and all basic relations remain preserved.

Date received: June 7, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadi-35.