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Mixed Motives
Language: en
Pages: 529
Authors: Marc Levine
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

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This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for
Triangulated Categories of Mixed Motives
Language: en
Pages: 442
Authors: Denis-Charles Cisinski
Categories: Mathematics
Type: BOOK - Published: 2019-11-09 - Publisher: Springer Nature

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The primary aim of this monograph is to achieve part of Beilinson’s program on mixed motives using Voevodsky’s theories of A1-homotopy and motivic complexes
Mixed Motives and Algebraic K-Theory
Language: en
Pages: 260
Authors: Uwe Jannsen
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

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The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of i
Feynman Motives
Language: en
Pages: 234
Authors: Matilde Marcolli
Categories: Science
Type: BOOK - Published: 2010 - Publisher: World Scientific

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This book presents recent and ongoing research work aimed at understanding the mysterious relation between the computations of Feynman integrals in perturbative
Noncommutative Geometry, Quantum Fields and Motives
Language: en
Pages: 810
Authors: Alain Connes
Categories: Mathematics
Type: BOOK - Published: 2019-03-13 - Publisher: American Mathematical Soc.

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The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces whe