40% off Popular Science books & eBooks—Save on general interest titles now!

Progress in Mathematics

Lie Models in Topology

Authors: Buijs, U., Félix, Y., Murillo, A., Tanré, D.

Free Preview
  • Provides new tools to address the problem of extending the Quillen approach to a more general category of spaces
  • Opens a field of vision to solve old problems and pose new questions
  • Winner of the 2020 Ferran Sunyer i Balaguer Prize
see more benefits

Buy this book

eBook 85,59 €
price for Spain (gross)
  • ISBN 978-3-030-54430-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-030-54429-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

Since the birth of rational homotopy theory, the possibility of extending the Quillen approach –  in terms of Lie algebras – to a more general category of spaces, including the non-simply connected case, has been a challenge for the algebraic topologist community. Despite the clear Eckmann-Hilton duality between Quillen and Sullivan treatments, the simplicity in the realization of algebraic structures in the latter contrasts with the complexity required by the Lie algebra version.


In this book, the authors develop new tools to address these problems. Working with complete Lie algebras, they construct, in a combinatorial way, a cosimplicial Lie model for the standard simplices. This is a key object, which allows the definition of a new model and realization functors that turn out to be homotopically equivalent to the classical Quillen functors in the simply connected case. With this, the authors open new avenues for solving old problems and posing new questions.

This monograph is the winner of the 2020 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.


Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook 85,59 €
price for Spain (gross)
  • ISBN 978-3-030-54430-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-030-54429-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Lie Models in Topology
Authors
Series Title
Progress in Mathematics
Series Volume
335
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-54430-0
DOI
10.1007/978-3-030-54430-0
Hardcover ISBN
978-3-030-54429-4
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XXV, 283
Topics