Intersection Homology & Perverse Sheaves: With Applications to Singularities

By Laurenţiu G Maxim

Preface.- 1. Topology of singular spaces: motivation, overview.- 2. Intersection Homology: definition, properties.- 3. L-classes of stratified spaces.- 4. Brief introduction to sheaf theory.- 5. Poincar?-Verdier Duality.- 6. Intersection homology after Deligne.- 7. Constructibility in algebraic geometry.- 8. Perverse sheaves.- 9. The Decomposition Package and Applications.- 10. Hypersurface singularities. Nearby and vanishing cycles.- 11. Overview of Saito's mixed Hodge modules, and immediate applications.- 12. Epilogue.- Bibliography.- Index.

• Format: Paperback
• Language: English
• ISBN: 3030276465
• ISBN13: 9783030276461
• Release Date: December 2020
• Publisher: Springer
• Length: 270 Pages
• Weight: 0.90 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"