Higher Structures In Topology Geometry And Physics PDF Download
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| Author | : Ralph M. Kaufmann |
| Publisher | : American Mathematical Society |
| Total Pages | : 332 |
| Release | : 2024-07-03 |
| Genre | : Mathematics |
| ISBN | : 1470471426 |
Download Higher Structures in Topology, Geometry, and Physics Book in PDF, ePub and Kindle
This volume contains the proceedings of the AMS Special Session on Higher Structures in Topology, Geometry, and Physics, held virtually on March 26–27, 2022. The articles give a snapshot survey of the current topics surrounding the mathematical formulation of field theories. There is an intricate interplay between geometry, topology, and algebra which captures these theories. The hallmark are higher structures, which one can consider as the secondary algebraic or geometric background on which the theories are formulated. The higher structures considered in the volume are generalizations of operads, models for conformal field theories, string topology, open/closed field theories, BF/BV formalism, actions on Hochschild complexes and related complexes, and their geometric and topological aspects.
| Author | : Alberto S. Cattaneo |
| Publisher | : |
| Total Pages | : 380 |
| Release | : 2011-03-30 |
| Genre | : |
| ISBN | : 9780817672317 |
Download Higher Structures in Geometry and Physics Book in PDF, ePub and Kindle
| Author | : James D. Stasheff |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 338 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 082180913X |
Download Higher Homotopy Structures in Topology and Mathematical Physics Book in PDF, ePub and Kindle
Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on $H$-spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas.
| Author | : Alberto S. Cattaneo |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 371 |
| Release | : 2010-11-25 |
| Genre | : Mathematics |
| ISBN | : 081764735X |
Download Higher Structures in Geometry and Physics Book in PDF, ePub and Kindle
This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics— such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics— and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. The volume is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures.
| Author | : |
| Publisher | : |
| Total Pages | : |
| Release | : 2011 |
| Genre | : |
| ISBN | : 9781282973626 |
Download Higher Structures in Geometry and Physics Book in PDF, ePub and Kindle
| Author | : Tim Maudlin |
| Publisher | : |
| Total Pages | : 374 |
| Release | : 2014-02 |
| Genre | : Mathematics |
| ISBN | : 0198701306 |
Download New Foundations for Physical Geometry Book in PDF, ePub and Kindle
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
| Author | : |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 321 |
| Release | : 1999 |
| Genre | : Homotopy theory |
| ISBN | : 9780821855638 |
Download Higher Homotopy Structures in Topology and Mathematical Physics Book in PDF, ePub and Kindle
| Author | : Helmut Eschrig |
| Publisher | : Springer |
| Total Pages | : 397 |
| Release | : 2011-01-26 |
| Genre | : Science |
| ISBN | : 3642147003 |
Download Topology and Geometry for Physics Book in PDF, ePub and Kindle
A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.
| Author | : Jürgen Jost |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 226 |
| Release | : 2009-08-17 |
| Genre | : Mathematics |
| ISBN | : 3642005411 |
Download Geometry and Physics Book in PDF, ePub and Kindle
"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.
| Author | : Charles Nash |
| Publisher | : Courier Corporation |
| Total Pages | : 302 |
| Release | : 2013-08-16 |
| Genre | : Mathematics |
| ISBN | : 0486318362 |
Download Topology and Geometry for Physicists Book in PDF, ePub and Kindle
Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.
