Massey Products in String Topology PDF Download
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Author: Aron Fischer
Publisher:
ISBN: 9781339020990
Category :
Languages : en
Pages : 246
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Book Description
Author: Aron Fischer
Publisher:
ISBN: 9781339020990
Category :
Languages : en
Pages : 246
Get Book Here
Book Description
Author: Ralph L. Cohen
Publisher: Birkhäuser
ISBN: 9783764321826
Category : Mathematics
Languages : en
Pages : 163
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Book Description
This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume. The first part offers a thorough and elegant exposition of various approaches to string topology and the Chas-Sullivan loop product. The second gives a complete and clear construction of an algebraic model for computing topological cyclic homology.
Author: Jonathan R_osenberg
Publisher: American Mathematical Soc.
ISBN: 0821849220
Category : Mathematics
Languages : en
Pages : 122
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Book Description
String theory is the leading candidate for a physical theory that combines all the fundamental forces of nature, as well as the principles of relativity and quantum mechanics, into a mathematically elegant whole. The mathematical tools used by string theorists are highly sophisticated, and cover many areas of mathematics. As with the birth of quantum theory in the early 20th century, the mathematics has benefited at least as much as the physics from the collaboration. In this book, based on CBMS lectures given at Texas Christian University, Rosenberg describes some of the most recent interplay between string dualities and topology and operator algebras. The book is an interdisciplinary approach to duality symmetries in string theory. It can be read by either mathematicians or theoretical physicists, and involves a more-or-less equal mixture of algebraic topology, operator algebras, and physics. There is also a bit of algebraic geometry, especially in the last chapter. The reader is assumed to be somewhat familiar with at least one of these four subjects, but not necessarily with all or even most of them. The main objective of the book is to show how several seemingly disparate subjects are closely linked with one another, and to give readers an overview of some areas of current research, even if this means that not everything is covered systematically.
Author: Sadayoshi Kojima
Publisher:
ISBN:
Category : Topological groups
Languages : en
Pages : 92
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Book Description
Author: Marek Golasiński
Publisher:
ISBN:
Category : Algebraic topology
Languages : en
Pages : 326
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Book Description
Author: Roger Fenn
Publisher: CUP Archive
ISBN: 9780521284721
Category : Mathematics
Languages : en
Pages : 298
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Book Description
Author: Yves Félix
Publisher: Oxford University Press
ISBN: 0199206511
Category : Mathematics
Languages : en
Pages : 483
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Book Description
A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory.
Author: Tohru Eguchi
Publisher: Cambridge University Press
ISBN: 1107056411
Category : Mathematics
Languages : en
Pages : 303
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Book Description
This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.
Author: Mikhail Lyubich
Publisher: American Mathematical Soc.
ISBN: 0821836668
Category : Mathematics
Languages : en
Pages : 443
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Book Description
The Stony Brook Conference, "Graphs and Patterns in Mathematics and Theoretical Physics", was dedicated to Dennis Sullivan in honor of his sixtieth birthday. The event's scientific content, which was suggested by Sullivan, was largely based on mini-courses and survey lectures. The main idea was to help researchers and graduate students in mathematics and theoretical physics who encounter graphs in their research to overcome conceptual barriers. The collection begins with Sullivan's paper, "Sigma models and string topology," which describes a background algebraic structure for the sigma model based on algebraic topology and transversality. Other contributions to the volume were organized into five sections: Feynman Diagrams, Algebraic Structures, Manifolds: Invariants and Mirror Symmetry, Combinatorial Aspects of Dynamics, and Physics. These sections, along with more research-oriented articles, contain the following surveys: "Feynman diagrams for pedestrians and mathematicians" by M. Polyak, "Notes on universal algebra" by A. Voronov, "Unimodal maps and hierarchical models" by M. Yampolsky, and "Quantum geometry in action: big bang and black holes" by A. Ashtekar. This comprehensive volume is suitable for graduate students and research mathematicians interested in graph theory and its applications in mathematics and physics.
Author: Jonathan Arthur Hillman
Publisher: World Scientific
ISBN: 9814407399
Category : Mathematics
Languages : en
Pages : 370
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Book Description
This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually boundary links, free coverings of homology boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an essential role in many applications of knot theory to other areas of topology. This second edition introduces two new chapters OCo twisted polynomial invariants and singularities of plane curves. Each replaces brief sketches in the first edition. Chapter 2 has been reorganized, and new material has been added to four other chapters.
