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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Nonabelian Multiplicative Integration on Surfaces

Nonabelian Multiplicative Integration on Surfaces

Yekutieli, Amnon

Hardcover

General MathematicsGeometryPhysics

ISBN10: 9814663840
ISBN13: 9789814663847
Publisher: World Scientific Publishing Company
Published: Sep 16 2015
Pages: 188
Weight: 1.10
Height: 0.70 Width: 6.00 Depth: 9.00
Language: English

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 is a twisting of the integrand, that comes from a 1-dimensional multiplicative integral along the strings, with values in the group G.

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