Nonabelian Multiplicative Integration on Surfaces

by Amnon Yekutieli

Nonabelian multiplicative integration on curves is a classical theory. This volume is about the 2-dimensional case, which is much more difficult. In our construction, the setup is a Lie crossed module: there is a Lie group H, together with an action on it by another Lie group G. The multiplicative integral is an element of H, and it is the limit of Riemann products. Each Riemann product involves a fractal decomposition of the surface into kites (triangles...

• Format: Hardcover
• Language: English
• ISBN: 9814663840
• ISBN13: 9789814663847
• Release Date: September 2015
• Publisher: World Scientific Publishing Company
• Length: 188 Pages
• Weight: 1.10 lbs.
• Dimensions: 0.7" x 6.0" x 9.0"