Geometry Of Loop Spaces And The Cobar Construction PDF Download
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| Author | : Hans J. Baues |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 194 |
| Release | : 1980 |
| Genre | : Mathematics |
| ISBN | : 0821822306 |
Download Geometry of Loop Spaces and the Cobar Construction Book in PDF, ePub and Kindle
The homology of iterated loop spaces [capital Greek]Omega [superscript]n [italic]X has always been a problem of major interest because it gives some insight into the homotopy of [italic]X, among other things. Therefore, if [italic]X is a CW-complex, one has been interested in small CW models for [capital Greek]Omega [superscript]n [italic]X in order to compute the cellular chain complex. The author proves a very general model theorem from which he can derive models, in addition to very technical proofs of the model theorem for several other models.
| Author | : Hans Joachim Baues |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1980 |
| Genre | : |
| ISBN | : |
Download Geometry of Loop Spaces and the Cobar Construction Book in PDF, ePub and Kindle
| Author | : Justin R. Smith |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 154 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : 0821825887 |
Download Iterating the Cobar Construction Book in PDF, ePub and Kindle
This paper develops a new invariant of a CW-complex called the m-structure and uses it to perform homotopy-theoretic computations. The m-structure of a space encapsulates the coproduct structure, as well as higher-coproduct structures that determine Steenrod-operations. Given an m-structure on the chain complex of a reduced simplicial complex of a pointed simply-connected space, one can equip the cobar construction of this chain-complex with a natural m-structure. This result allows one to form iterated cobar constructions that are shown to be homotopy equivalent to iterated loop-spaces.
| Author | : I.M. James |
| Publisher | : Elsevier |
| Total Pages | : 1336 |
| Release | : 1995-07-18 |
| Genre | : Mathematics |
| ISBN | : 0080532985 |
Download Handbook of Algebraic Topology Book in PDF, ePub and Kindle
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
| Author | : J.P. May |
| Publisher | : Springer |
| Total Pages | : 184 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540376038 |
Download The Geometry of Iterated Loop Spaces Book in PDF, ePub and Kindle
| Author | : Jean-Louis Loday |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 458 |
| Release | : 1997 |
| Genre | : |
| ISBN | : 0821805134 |
Download Operads: Proceedings of Renaissance Conferences Book in PDF, ePub and Kindle
| Author | : Rolf Schön |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 73 |
| Release | : 1991 |
| Genre | : Mathematics |
| ISBN | : 0821825224 |
Download Effective Algebraic Topology Book in PDF, ePub and Kindle
Regret none available.
| 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 | : Shiing-Shen Chern |
| Publisher | : World Scientific |
| Total Pages | : 278 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 9789812777416 |
Download Contemporary Trends in Algebraic Geometry and Algebraic Topology Book in PDF, ePub and Kindle
The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen''s interated integrals, algebraic fiber spaces, and others.
| Author | : Martin Majewski |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 175 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 0821819208 |
Download Rational Homotopical Models and Uniqueness Book in PDF, ePub and Kindle
The main goal of this paper is to prove the following conjecture of Baues and Lemaire: the differential graded Lie Tlgebra associated with the Sullivan model of a space is homotopy equivalent to its Quillen model. In addition we show the same for the cellular Lie algebra model which we build from the simplicial analog of the classical Adams-Hilton model. It turns out that this cellular Lie algebra model is one link in a chain of models connecting the models of Quillen and Sullivan.The key result which makes all this possible is Anick's correspondence between differential graded Lie algebras and Hopf algebras up to homotopy. In addition we show that the Quillen model is a rational homotopical equivalence, and we conclude the same for the other models using our main result. Theconstruction of the three models is given in detail. The background from homotopy theory, differential algebra, and algebra is presented in great generality.
