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Free Loop Spaces in Geometry and Top...

Latschev, Janko,

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Free Loop Spaces in Geometry and Topology = Including the monograph Symplectic cohomology and Viterbo's theorem by Mohammed Abouzaid /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Free Loop Spaces in Geometry and Topology/ Janko Latschev, Alexandru Oancea
其他題名:	Including the monograph Symplectic cohomology and Viterbo's theorem by Mohammed Abouzaid /
作者:	Latschev, Janko,
其他作者:	Oancea, Alexandru,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2015,
面頁冊數:	1 online resource (500 pages)
標題:	Differential & Riemannian geometry -
電子資源:	https://doi.org/10.4171/153
電子資源:	https://www.ems-ph.org/img/books/latschev_mini.jpg
ISBN:	9783037196533

Free Loop Spaces in Geometry and Topology = Including the monograph Symplectic cohomology and Viterbo's theorem by Mohammed Abouzaid /
Latschev, Janko,

Free Loop Spaces in Geometry and TopologyIncluding the monograph Symplectic cohomology and Viterbo's theorem by Mohammed Abouzaid /[electronic resource] :Janko Latschev, Alexandru Oancea - Zuerich, Switzerland :European Mathematical Society Publishing House,2015 - 1 online resource (500 pages) - IRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;242523-5133 ;.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

In the late 1990s two initially unrelated developments brought free loop spaces into renewed focus. In 1999, Chas and Sullivan introduced a wealth of new algebraic operations on the homology of these spaces under the name of string topology, the full scope of which is still not completely understood. A few years earlier, Viterbo had discovered a first deep link between the symplectic topology of cotangent bundles and the topology of their free loop space. In the past 15 years, many exciting connections between these two viewpoints have been found. Still, researchers working on one side of the story often know quite little about the other. One of the main purposes of this book is to facilitate communication between topologists and symplectic geometers thinking about free loop spaces. It was written by active researchers coming to the topic from both perspectives and provides a concise overview of many of the classical results, while also beginning to explore the new directions of research that have emerged recently. As one highlight, it contains a research monograph by M. Abouzaid which proves a strengthened version of Viterbo's isomorphism between the homology of the free loop space of a manifold and the symplectic cohomology of its cotangent bundle, following a new strategy. The book grew out of a learning seminar on free loop spaces held at Strasbourg University in 2008-2009, and should be accessible to a graduate student with a general interest in the topic. It focuses on introducing and explaining the most important aspects rather than offering encyclopedic coverage, while providing the interested reader with a broad basis for further studies and research.

ISBN: 9783037196533

Standard No.: 10.4171/153doiSubjects--Topical Terms:

3480810
Differential & Riemannian geometry

Free Loop Spaces in Geometry and Topology = Including the monograph Symplectic cohomology and Viterbo's theorem by Mohammed Abouzaid /
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