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Bibliographic Detail
Publisher
World Scientific Pub Co Inc
Publication date
December 31, 2015
Pages
173
Binding
Hardcover
Book category
Adult Non-Fiction
ISBN-13
9789814663847
ISBN-10
9814663840
Dimensions
0.75 by 6.25 by 9 in.
Weight
1 lbs.
Original list price
$58.00
Summaries and Reviews
Amazon.com description: Product Description: 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 with strings connecting them to the base point). There a twisting of the integrand, that comes from a 1-dimensional multiplicative integral along the strings, with values in the group G. The main result of this work is the 3-dimensional nonabelian Stokes theorem. This result is new; only a special case of it was predicted (without proof) in papers in mathematical physics. Our constructions and proofs are of a straightforward nature. There are plenty of illustrations to clarify the geometric constructions. Our volume touches some of the central issues (e.g., descent for nonabelian gerbes) in an unusually down-to-earth manner, involving analysis, differential geometry, combinatorics and Lie theory instead of the 2-categories and 2-functors that other authors prefer.
Editions
Hardcover
The price comparison is for this edition
from World Scientific Pub Co Inc (December 31, 2015)
9789814663847 | details & prices | 173 pages | 6.25 × 9.00 × 0.75 in. | 1.04 lbs | List price $58.00
About: Nonabelian multiplicative integration on curves is a classical theory.
About: Nonabelian multiplicative integration on curves is a classical theory.
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