Vector fields on Singular Varieties (Record no. 31224)
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000 -LEADER | |
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fixed length control field | 03166nam a22005775i 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783642052057 |
-- | 978-3-642-05205-7 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515.94 |
100 1# - MAIN ENTRY--AUTHOR NAME | |
Personal name | Brasselet, Jean-Paul. |
245 10 - TITLE STATEMENT | |
Title | Vector fields on Singular Varieties |
Statement of responsibility, etc | by Jean-Paul Brasselet, José Seade, Tatsuo Suwa. |
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Berlin, Heidelberg : |
Name of publisher | Springer Berlin Heidelberg, |
Year of publication | 2009. |
300 ## - PHYSICAL DESCRIPTION | |
Other physical details | online resource. |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | The Case of Manifolds -- The Schwartz Index -- The GSV Index -- Indices of Vector Fields on Real Analytic Varieties -- The Virtual Index -- The Case of Holomorphic Vector Fields -- The Homological Index and Algebraic Formulas -- The Local Euler Obstruction -- Indices for 1-Forms -- The Schwartz Classes -- The Virtual Classes -- Milnor Number and Milnor Classes -- Characteristic Classes of Coherent Sheaves on Singular Varieties. |
520 ## - SUMMARY, ETC. | |
Summary, etc | Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Geometry, algebraic. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Differentiable dynamical systems. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Global analysis. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Differential equations, partial. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Cell aggregation |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Several Complex Variables and Analytic Spaces. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Dynamical Systems and Ergodic Theory. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Manifolds and Cell Complexes (incl. Diff.Topology). |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Global Analysis and Analysis on Manifolds. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Algebraic Geometry. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Seade, José. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Suwa, Tatsuo. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-642-05205-7 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | E-BOOKS |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg, |
-- | 2009. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 0075-8434 ; |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | EBK1930 | http://dx.doi.org/10.1007/978-3-642-05205-7 | E-BOOKS |