History of Mathematics Subseries

Topology and K-Theory

Lectures by Daniel Quillen

Autoren: Penner, Robert

Vorschau
  • Useful text for second-semester graduate student learning Algebraic Topology
  • Useful for students or researchers at any level as a preface to Quillen's three landmark papers  
  • As a historical or sociological point, these informal notes provide a glimpse of Quillen's magnificent mind
Weitere Vorteile

Dieses Buch kaufen

eBook 18,18 €
37,44 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
  • ISBN 978-3-030-43996-5
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Softcover 24,60 €
48,14 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
Über dieses Buch

These are notes from a graduate student course on algebraic topology and K-theory given by Daniel Quillen at the Massachusetts Institute of Technology during 1979-1980. He had just received the Fields Medal for his work on these topics among others and was funny and playful with a confident humility from the start. These are not meant to be polished lecture notes, rather, things are presented as did Quillen reflected in the hand-written notes, resisting any temptation to change or add notation, details or elaborations. Indeed, the text is faithful to Quillen's own exposition, even respecting the {\sl board-like presentation} of formulae, diagrams and proofs, omitting numbering theorems in favor of names and so on. This is meant to be Quillen on Quillen as it happened forty years ago, an informal text for a second-semester graduate student on topology, category theory and K-theory, a potential preface to studying Quillen's own landmark papers and an informal glimpse of his great mind. The intellectual pace of the lectures, namely fast and lively, is Quillen himself, and part of the point here is to capture some of this intimacy. To be sure, much has happened since then from this categorical perspective started by Grothendieck, and Misha Kapranov has contributed an Afterword in order to make it more useful to current students.



Über die Autor*innen

Robert Penner holds the Rene Thom Chair at the Institut des Hautes Etudes Scientifiques in Paris. His research extends across topology, geometry and combinatorics together with their applications to high energy physics and theoretical biology.  Among his previous books are
Combinatorics of Train Tracks (Princeton University Press), Discrete Mathematics (World Scientific) and Decorated Teichmueller Theory
(European Mathematical Society).


Inhaltsverzeichnis (38 Kapitel)

Inhaltsverzeichnis (38 Kapitel)
  • Group Extensions and Cohomology

    Seiten 1-4

    Penner, Robert

  • Categories and Their Nerves

    Seiten 5-8

    Penner, Robert

  • Simplicial Objects

    Seiten 9-13

    Penner, Robert

  • Normalization and Conical Contractibility

    Seiten 15-19

    Penner, Robert

  • Effaceable $$\delta $$-Functors

    Seiten 21-24

    Penner, Robert

Dieses Buch kaufen

eBook 18,18 €
37,44 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
  • ISBN 978-3-030-43996-5
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF, EPUB
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 24,60 €
48,14 € (Listenpreis)
Preis für Deutschland (Brutto)
gültig bis 30. Juni 2021
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Bibliografische Information

Bibliographic Information
Buchtitel
Topology and K-Theory
Buchuntertitel
Lectures by Daniel Quillen
Autoren
Titel der Buchreihe
History of Mathematics Subseries
Buchreihen Band
2262
Copyright
2020
Verlag
Springer International Publishing
Copyright Inhaber
Springer Nature Switzerland AG
eBook ISBN
978-3-030-43996-5
DOI
10.1007/978-3-030-43996-5
Softcover ISBN
978-3-030-43995-8
Buchreihen ISSN
2193-1771
Auflage
1
Seitenzahl
VIII, 213
Anzahl der Bilder
59 schwarz-weiß Abbildungen
Themen