Supersymmetry and Equivariant de Rham Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Supersymmetry and Equivariant de Rham Theory write by Victor W Guillemin. This book was released on 2013-03-09. Supersymmetry and Equivariant de Rham Theory available in PDF, EPUB and Kindle. This book discusses the equivariant cohomology theory of differentiable manifolds. Although this subject has gained great popularity since the early 1980's, it has not before been the subject of a monograph. It covers almost all important aspects of the subject The authors are key authorities in this field.
Supersymmetry and Equivariant de Rham Theory
Supersymmetry and Equivariant de Rham Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Supersymmetry and Equivariant de Rham Theory write by Victor W. Bruning Jochen Guillemin. This book was released on 2014-01-15. Supersymmetry and Equivariant de Rham Theory available in PDF, EPUB and Kindle.
Introductory Lectures on Equivariant Cohomology
Introductory Lectures on Equivariant Cohomology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introductory Lectures on Equivariant Cohomology write by Loring W. Tu. This book was released on 2020-03-03. Introductory Lectures on Equivariant Cohomology available in PDF, EPUB and Kindle. This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the proofs are the simplest. One of the most useful applications of equivariant cohomology is the equivariant localization theorem of Atiyah-Bott and Berline-Vergne, which converts the integral of an equivariant differential form into a finite sum over the fixed point set of the group action, providing a powerful tool for computing integrals over a manifold. Because integrals and symmetries are ubiquitous, equivariant cohomology has found applications in diverse areas of mathematics and physics. Assuming readers have taken one semester of manifold theory and a year of algebraic topology, Loring Tu begins with the topological construction of equivariant cohomology, then develops the theory for smooth manifolds with the aid of differential forms. To keep the exposition simple, the equivariant localization theorem is proven only for a circle action. An appendix gives a proof of the equivariant de Rham theorem, demonstrating that equivariant cohomology can be computed using equivariant differential forms. Examples and calculations illustrate new concepts. Exercises include hints or solutions, making this book suitable for self-study.
Supersymmetric Field Theories
Supersymmetric Field Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Supersymmetric Field Theories write by Sergio Cecotti. This book was released on 2015-01-08. Supersymmetric Field Theories available in PDF, EPUB and Kindle. Adopting an elegant geometrical approach, this advanced pedagogical text describes deep and intuitive methods for understanding the subtle logic of supersymmetry while avoiding lengthy computations. The book describes how complex results and formulae obtained using other approaches can be significantly simplified when translated to a geometric setting. Introductory chapters describe geometric structures in field theory in the general case, while detailed later chapters address specific structures such as parallel tensor fields, G-structures, and isometry groups. The relationship between structures in supergravity and periodic maps of algebraic manifolds, Kodaira–Spencer theory, modularity, and the arithmetic properties of supergravity are also addressed. Relevant geometric concepts are introduced and described in detail, providing a self-contained toolkit of useful techniques, formulae and constructions. Covering all the material necessary for the application of supersymmetric field theories to fundamental physical questions, this is an outstanding resource for graduate students and researchers in theoretical physics.
Toric Topology
Toric Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Toric Topology write by Victor M. Buchstaber. This book was released on 2015-07-15. Toric Topology available in PDF, EPUB and Kindle. This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplectic geometry, combinatorics, and commutative algebra. It has quickly grown into a very active area with many links to other areas of mathematics, and continues to attract experts from different fields. The key players in toric topology are moment-angle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of moment-angle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on moment-angle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and non-Kaehler complex geometry. A related categorical construction of moment-angle complexes and polyhedral products provides for a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate subject of homotopy theory. A new perspective on torus actions has also contributed to the development of classical areas of algebraic topology, such as complex cobordism. This book includes many open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter this beautiful new area.
