Frobenius Algebras and 2-D Topological Quantum Field Theories
Language: en
Pages: 260
Authors: Joachim Kock
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: Cambridge University Press

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This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Fro
Frobenius Algebras and 2D Topological Quantum Field Theories
Language: en
Pages: 240
Authors: Joachim Kock
Categories: Algebraic topology
Type: BOOK - Published: 2003 - Publisher:

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Proves striking results connecting topology and algebra and shows how the result fits into a more general pattern. The book will prove valuable to students or r
Lectures on Field Theory and Topology
Language: en
Pages: 186
Authors: Daniel S. Freed
Categories: Algebraic topology
Type: BOOK - Published: 2019-08-23 - Publisher: American Mathematical Soc.

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These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. Whi
Homotopy Quantum Field Theory
Language: en
Pages: 300
Authors: Vladimir G. Turaev
Categories: EMS tracts in mathematics
Type: BOOK - Published: 2010 - Publisher: European Mathematical Society

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Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physi
Mathematical Foundations of Quantum Field Theory and Perturbative String Theory
Language: en
Pages: 370
Authors: Hisham Sati
Categories: Mathematics
Type: BOOK - Published: 2011-12-07 - Publisher: American Mathematical Soc.

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Conceptual progress in fundamental theoretical physics is linked with the search for the suitable mathematical structures that model the physical systems. Quant