Borrow it
 Albert D. Cohen Management Library
 Architecture/Fine Arts Library
 Archives and Special Collections
 Bibliothèque AlfredMonnin (Université de SaintBoniface)
 Bill Larson Library (Grace Hospital)
 Carolyn Sifton  Helene Fuld Library (St. Boniface General Hospital)
 Concordia Hospital Library
 Donald W. Craik Engineering Library
 E.K. Williams Law Library
 EckhardtGramatté Music Library
 Elizabeth Dafoe Library
 Fr. H. Drake Library (St. Paul's College)
 J.W. Crane Memorial Library (Deer Lodge Centre)
 Libraries Annex (not open to the public; please see web page for details)
 Neil John Maclean Health Sciences Library
 Sciences and Technology Library
 Seven Oaks General Hospital Library
 Sister St. Odilon Library (Misericordia Health Centre)
 St. John's College Library
 Victoria General Hospital Library
 William R Newman Library (Agriculture)
The Resource Algebraic cobordism, M. Levine, F. Morel, (electronic resource)
Algebraic cobordism, M. Levine, F. Morel, (electronic resource)
Resource Information
The item Algebraic cobordism, M. Levine, F. Morel, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Algebraic cobordism, M. Levine, F. Morel, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism of the base field is the Lazard ring and the cobordism of a smooth variety is generated over the Lazard ring by the elements of positive degrees. This implies in particular the generalized degree formula conjectured by Rost. The book also contains some examples of computations and applications
 Language

 eng
 eng
 Extent
 1 online resource (254 p.)
 Note
 Description based upon print version of record
 Contents

 Introduction
 I. Cobordism and oriented cohomology
 1.1. Oriented cohomology theories. 1.2. Algebraic cobordism. 1.3. Relations with complex cobordism.  II. The definition of algebraic cobordism. 2.1. Oriented BorelMoore functions. 2.2. Oriented functors of geometric type. 2.3. Some elementary properties. 2.4. The construction of algebraic cobordism. 2.5. Some computations in algebraic cobordism
 III. Fundamental properties of algebraic cobordism. 3.1. Divisor classes. 3.2. Localization. 3.3. Transversality. 3.4. Homotopy invariance. 3.5. The projective bundle formula. 3.6. The extended homotopy property. IV. Algebraic cobordism and the Lazard ring. 4.1. Weak homology and Chern classes. 4.2. Algebraic cobordism and Ktheory. 4.3. The cobordism ring of a point. 4.4. Degree formulas. 4.5. Comparison with the Chow groups. V. Oriented BorelMoore homology. 5.1. Oriented BorelMoore homology theories. 5.2. Other oriented theories
 VI. Functoriality. 6.1. Refined cobordism. 6.2. Intersection with a pseudodivisor. 6.3. Intersection with a pseudodivisor II. 6.4. A moving lemma. 6.5. Pullback for l.c.i. morphisms. 6.6. Refined pullback and refined intersections. VII. The universality of algebraic cobordism. 7.1. Statement of results. 7.2. Pullback in BorelMoore homology theories. 7.3. Universality 7.4. Some applications
 Appendix A: Resolution of singularities
 References
 Index
 Glossary of Notation
 Isbn
 9783540368243
 Label
 Algebraic cobordism
 Title
 Algebraic cobordism
 Statement of responsibility
 M. Levine, F. Morel
 Language

 eng
 eng
 Summary
 Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism of the base field is the Lazard ring and the cobordism of a smooth variety is generated over the Lazard ring by the elements of positive degrees. This implies in particular the generalized degree formula conjectured by Rost. The book also contains some examples of computations and applications
 Cataloging source
 MiAaPQ
 http://library.link/vocab/creatorDate
 1952
 http://library.link/vocab/creatorName
 Levine, Marc
 Dewey number
 514/.72
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA612.66
 LC item number
 .L48 2007
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Morel, Fabien
 Series statement
 Springer monographs in mathematics,
 http://library.link/vocab/subjectName

 Cobordism theory
 Homology theory
 Label
 Algebraic cobordism, M. Levine, F. Morel, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [237]238) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Introduction  I. Cobordism and oriented cohomology  1.1. Oriented cohomology theories. 1.2. Algebraic cobordism. 1.3. Relations with complex cobordism.  II. The definition of algebraic cobordism. 2.1. Oriented BorelMoore functions. 2.2. Oriented functors of geometric type. 2.3. Some elementary properties. 2.4. The construction of algebraic cobordism. 2.5. Some computations in algebraic cobordism  III. Fundamental properties of algebraic cobordism. 3.1. Divisor classes. 3.2. Localization. 3.3. Transversality. 3.4. Homotopy invariance. 3.5. The projective bundle formula. 3.6. The extended homotopy property. IV. Algebraic cobordism and the Lazard ring. 4.1. Weak homology and Chern classes. 4.2. Algebraic cobordism and Ktheory. 4.3. The cobordism ring of a point. 4.4. Degree formulas. 4.5. Comparison with the Chow groups. V. Oriented BorelMoore homology. 5.1. Oriented BorelMoore homology theories. 5.2. Other oriented theories  VI. Functoriality. 6.1. Refined cobordism. 6.2. Intersection with a pseudodivisor. 6.3. Intersection with a pseudodivisor II. 6.4. A moving lemma. 6.5. Pullback for l.c.i. morphisms. 6.6. Refined pullback and refined intersections. VII. The universality of algebraic cobordism. 7.1. Statement of results. 7.2. Pullback in BorelMoore homology theories. 7.3. Universality 7.4. Some applications  Appendix A: Resolution of singularities  References  Index  Glossary of Notation
 Dimensions
 unknown
 Extent
 1 online resource (254 p.)
 Form of item
 online
 Isbn
 9783540368243
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/3540368248
 Specific material designation
 remote
 System control number

 (CKB)1000000000282707
 (EBL)323022
 (OCoLC)185022118
 (SSID)ssj0000101019
 (PQKBManifestationID)11124516
 (PQKBTitleCode)TC0000101019
 (PQKBWorkID)10037263
 (PQKB)10111334
 (DEHe213)9783540368243
 (MiAaPQ)EBC323022
 (EXLCZ)991000000000282707
 Label
 Algebraic cobordism, M. Levine, F. Morel, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [237]238) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Introduction  I. Cobordism and oriented cohomology  1.1. Oriented cohomology theories. 1.2. Algebraic cobordism. 1.3. Relations with complex cobordism.  II. The definition of algebraic cobordism. 2.1. Oriented BorelMoore functions. 2.2. Oriented functors of geometric type. 2.3. Some elementary properties. 2.4. The construction of algebraic cobordism. 2.5. Some computations in algebraic cobordism  III. Fundamental properties of algebraic cobordism. 3.1. Divisor classes. 3.2. Localization. 3.3. Transversality. 3.4. Homotopy invariance. 3.5. The projective bundle formula. 3.6. The extended homotopy property. IV. Algebraic cobordism and the Lazard ring. 4.1. Weak homology and Chern classes. 4.2. Algebraic cobordism and Ktheory. 4.3. The cobordism ring of a point. 4.4. Degree formulas. 4.5. Comparison with the Chow groups. V. Oriented BorelMoore homology. 5.1. Oriented BorelMoore homology theories. 5.2. Other oriented theories  VI. Functoriality. 6.1. Refined cobordism. 6.2. Intersection with a pseudodivisor. 6.3. Intersection with a pseudodivisor II. 6.4. A moving lemma. 6.5. Pullback for l.c.i. morphisms. 6.6. Refined pullback and refined intersections. VII. The universality of algebraic cobordism. 7.1. Statement of results. 7.2. Pullback in BorelMoore homology theories. 7.3. Universality 7.4. Some applications  Appendix A: Resolution of singularities  References  Index  Glossary of Notation
 Dimensions
 unknown
 Extent
 1 online resource (254 p.)
 Form of item
 online
 Isbn
 9783540368243
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/3540368248
 Specific material designation
 remote
 System control number

 (CKB)1000000000282707
 (EBL)323022
 (OCoLC)185022118
 (SSID)ssj0000101019
 (PQKBManifestationID)11124516
 (PQKBTitleCode)TC0000101019
 (PQKBWorkID)10037263
 (PQKB)10111334
 (DEHe213)9783540368243
 (MiAaPQ)EBC323022
 (EXLCZ)991000000000282707
Subject
Genre
Member of
Library Locations

Albert D. Cohen Management LibraryBorrow it181 Freedman Crescent, Winnipeg, MB, R3T 5V4, CA49.807878 97.129961


Archives and Special CollectionsBorrow it25 Chancellors Circle (Elizabeth Dafoe Library), Room 330, Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Bibliothèque AlfredMonnin (Université de SaintBoniface)Borrow it200, avenue de la Cathédrale, Local 2110, Winnipeg, MB, R2H 0H7, CA49.888861 97.119735

Bill Larson Library (Grace Hospital)Borrow it300 Booth Drive, G227, Winnipeg, MB, R3J 3M7, CA49.882400 97.276436

Carolyn Sifton  Helene Fuld Library (St. Boniface General Hospital)Borrow it409 Tache Avenue, Winnipeg, MB, R2H 2A6, CA49.883388 97.126050

Concordia Hospital LibraryBorrow it1095 Concordia Avenue, Winnipeg, MB, R2K 3S8, CA49.913252 97.064683

Donald W. Craik Engineering LibraryBorrow it75B Chancellors Circle (Engineering Building E3), Room 361, Winnipeg, MB, R3T 2N2, CA49.809053 97.133292


EckhardtGramatté Music LibraryBorrow it136 Dafoe Road (Taché Arts Complex), Room 257, Winnipeg, MB, R3T 2N2, CA49.807964 97.132222

Elizabeth Dafoe LibraryBorrow it25 Chancellors Circle, Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Fr. H. Drake Library (St. Paul's College)Borrow it70 Dysart Road, Winnipeg, MB, R3T 2M6, CA49.810605 97.138184

J.W. Crane Memorial Library (Deer Lodge Centre)Borrow it2109 Portage Avenue, Winnipeg, MB, R3J 0L3, CA49.878000 97.235520

Libraries Annex (not open to the public; please see web page for details)Borrow it25 Chancellors Circle (in the Elizabeth Dafoe Library), Winnipeg, MB, R3T 2N2, CA49.809961 97.131878

Neil John Maclean Health Sciences LibraryBorrow it727 McDermot Avenue (Brodie Centre), 200 Level, Winnipeg, MB, R3E 3P5, CA49.903563 97.160554

Sciences and Technology LibraryBorrow it186 Dysart Road, Winnipeg, MB, R3T 2M8, CA49.811526 97.133257

Seven Oaks General Hospital LibraryBorrow it2300 McPhillips Street, Winnipeg, MB, R2V 3M3, CA49.955177 97.148865

Sister St. Odilon Library (Misericordia Health Centre)Borrow it99 Cornish Avenue, Winnipeg, MB, R3C 1A2, CA49.879592 97.160425


Victoria General Hospital LibraryBorrow it2340 Pembina Highway, Winnipeg, MB, R3T 2E8, CA49.806755 97.152739

William R Newman Library (Agriculture)Borrow it66 Dafoe Road, Winnipeg, MB, R3T 2R3, CA49.806936 97.135525
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/AlgebraiccobordismM.LevineF.Morel/ufvupjVrwYk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/AlgebraiccobordismM.LevineF.Morel/ufvupjVrwYk/">Algebraic cobordism, M. Levine, F. Morel, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Algebraic cobordism, M. Levine, F. Morel, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/AlgebraiccobordismM.LevineF.Morel/ufvupjVrwYk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/AlgebraiccobordismM.LevineF.Morel/ufvupjVrwYk/">Algebraic cobordism, M. Levine, F. Morel, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>