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Koszul Duality and Categorical Dynamics

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Release : 2020
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Koszul Duality and Categorical Dynamics by : Yin Li

Download or read book Koszul Duality and Categorical Dynamics written by Yin Li. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry and Dynamics of Groups and Spaces

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Release : 2008-03-05
Genre : Mathematics
Kind : eBook
Book Rating : 088/5 ( reviews)

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Book Synopsis Geometry and Dynamics of Groups and Spaces by : Mikhail Kapranov

Download or read book Geometry and Dynamics of Groups and Spaces written by Mikhail Kapranov. This book was released on 2008-03-05. Available in PDF, EPUB and Kindle. Book excerpt: Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.

Lectures on Field Theory and Topology

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Release : 2019-08-23
Genre : Algebraic topology
Kind : eBook
Book Rating : 065/5 ( reviews)

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Book Synopsis Lectures on Field Theory and Topology by : Daniel S. Freed

Download or read book Lectures on Field Theory and Topology written by Daniel S. Freed. This book was released on 2019-08-23. Available in PDF, EPUB and Kindle. Book excerpt: These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.

Dirichlet Branes and Mirror Symmetry

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Release : 2009
Genre : Mathematics
Kind : eBook
Book Rating : 482/5 ( reviews)

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Book Synopsis Dirichlet Branes and Mirror Symmetry by :

Download or read book Dirichlet Branes and Mirror Symmetry written by . This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: Research in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry.

Geometry, Topology, and Dynamics

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Author :
Release : 1998
Genre : Mathematics
Kind : eBook
Book Rating : 77X/5 ( reviews)

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Book Synopsis Geometry, Topology, and Dynamics by : François Lalonde

Download or read book Geometry, Topology, and Dynamics written by François Lalonde. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of papers written by leading experts. They are all clear, comprehensive, and origianl. The volume covers a complete range of exciting and new developments in symplectic and contact geometries.

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