Lecture Notes in Mathematics

Introduction to Lipschitz Geometry of Singularities

Lecture Notes of the International School on Singularity Theory and Lipschitz Geometry, Cuernavaca, June 2018

Editors: Neumann, Walter, Pichon, Anne (Eds.)

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  • Written in a clear and vivid style this is the first book on the Lipschitz geometry of singularities
  • Starts with introductory lectures which provide all the necessary material for beginners in the area
  • Contains an English translation of the previously unpublished historical  pioneering work of  Frédéric Pham and Bernard Teissier from 1969 on the subject
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eBook $44.99
price for USA in USD
  • ISBN 978-3-030-61807-0
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  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-030-61806-3
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  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. Providing all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves. 

While a real or complex algebraic variety is topologically locally conical, it is in general not metrically conical; there are parts of its link with non-trivial topology which shrink faster than linearly when approaching the special point. The essence of the Lipschitz geometry of singularities is captured by the problem of building classifications of the germs up to local bi-Lipschitz homeomorphism. The Lipschitz geometry of a singular space germ is then its equivalence class in this category. 

The book is aimed at graduate students and researchers from other fields of geometry who are interested in studying the multiple open questions offered by this new subject.


About the authors

Walter Neumann is a Professor Emeritus at Barnard College/Columbia University, having taught at Universities of Bonn, Maryland, Ohio State and Melbourne. He has published in topology, geometry, and group theory, but in the last several years he has emphasized Lipschitz geometry, on which he has worked mostly with Anne Pichon, Lev Birbrair and Alexander Fernandes.

Anne Pichon (PhD University of Geneva 1996) is a slow and happy geometer. She works on topological and geometrical aspects of complex singular germs of spaces and maps, and started to study Lipschitz geometry of singularities in June 2009 at the occasion of a walk with Walter Neumann and Lev Birbrair in the calanques of Luminy, Marseille. She has two loves: geometry and music.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-030-61807-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-030-61806-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Lipschitz Geometry of Singularities
Book Subtitle
Lecture Notes of the International School on Singularity Theory and Lipschitz Geometry, Cuernavaca, June 2018
Editors
  • Walter Neumann
  • Anne Pichon
Series Title
Lecture Notes in Mathematics
Series Volume
2280
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-61807-0
DOI
10.1007/978-3-030-61807-0
Softcover ISBN
978-3-030-61806-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 346
Number of Illustrations
92 b/w illustrations, 45 illustrations in colour
Topics