Author | Schรผrmann, Jรถrg. author |
---|---|
Title | Topology of Singular Spaces and Constructible Sheaves [electronic resource] / by Jรถrg Schรผrmann |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2003 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8061-9 |
Descript | X, 454 p. online resource |
1 Thom-Sebastiani Theorem for constructible sheaves -- 1.1 Milnor fibration -- 1.2 Thom-Sebastiani Theorem -- 1.3 The Thom-Sebastiani Isomorphism in the derived category -- 1.4 Appendix: Kรผnneth formula -- 2 Constructible sheaves in geometric categories -- 2.1 Geometric categories -- 2.2 Constructible sheaves -- 2.3 Constructible functions -- 3 Localization results for equivariant constructible sheaves -- 3.1 Equivariant sheaves -- 3.2 Localization results for additive functions -- 3.3 Localization results for Grothendieck groups and trace formulae -- 3.4 Equivariant cohomology -- 4 Stratification theory and constructible sheaves -- 4.1 Stratification theory -- 4.2 Constructible sheaves on stratified spaces -- 4.3 Base change properties -- 5 Morse theory for constructible sheaves -- 5.1 Stratified Morse theory, part I -- 5.2 Characteristic cycles and index formulae -- 5.3 Stratified Morse theory, part II -- 5.4 Vanishing cycles -- 6 Vanishing theorems for constructible sheaves -- Introduction: Results and examples -- 6.1 Proof of the results