ISBN: 9783032153562 - lie models for spaces: a new approach to rational homotopy (frontiers in mathematics) (3 Ergebnisse)

Paperback. Zustand: Brand New. 225 pages. 6.61x0.52x9.45 inches. In Stock.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book introduces a novel framework to study the rational homotopy of a space through the construction of enriched differential graded Lie algebras (dgls), extending Quillen rational homotopy to non-simply connected spaces in a way that is compatible with the Sullivan minimal models approach. Part I contains the basic theory of enriched Lie algebras and associated quadratic Sullivan algebras. Minimal Sullivan algebras and Sullivan rationalizations are then described in Part II. Part III explores the relations between enriched dgl models, Sullivan models, and topological spaces. The connection between enriched dgls and commutative differential graded algebras (cdgas) is realized using a generalization of the cochain algebra functor. This part contains all the theory necessary for computation of explicit examples and for developing interesting applications. Finally, Part IV concerns inert cell attachments and their applications.…

Taschenbuch. Zustand: Neu. Lie Models for Spaces | A New Approach to Rational Homotopy | Yves Félix (u. a.) | Taschenbuch | xix | Englisch | 2026 | Birkhäuser | EAN 9783032153562 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…