David Anderson (Ohio State University), William Fulton (Ann Arbor University of Michigan)

Equivariant Cohomology in Algebraic Geometry

• Gebundenes Buch

Produktbeschreibung

Intended for first- or second-year graduate students in mathematics, as well as researchers working in algebraic geometry or combinatorics, this text introduces techniques that are essential in several areas of modern mathematics. With numerous exercises and examples, it covers the core notions and applications of equivariant cohomology.

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Produktdetails

• Cambridge Studies in Advanced Mathematics
• Verlag: Cambridge University Press
• Seitenzahl: 468
• Erscheinungstermin: 26. Oktober 2023
• Englisch
• Abmessung: 158mm x 237mm x 32mm
• Gewicht: 802g
• ISBN-13: 9781009349987
• ISBN-10: 1009349988
• Artikelnr.: 68465692

Autorenporträt

David Anderson is Associate Professor at The Ohio State University. He works in combinatorial algebraic geometry and has written over three dozen papers on topics including Schubert calculus, Newton-Okounkov bodies, and equivariant K-theory. In 2020, he received a CAREER Award from the National Science Foundation.

Inhaltsangabe

1. Preview
2. Defining equivariant cohomology
3. Basic properties
4. Grassmannians and flag varieties
5. Localization I
6. Conics
7. Localization II
8. Toric varieties
9. Schubert calculus on Grassmannians
10. Flag varieties and Schubert polynomials
11. Degeneracy loci
12. Infinite-dimensional flag varieties
13. Symplectic flag varieties
14. Symplectic Schubert polynomials
15. Homogeneous varieties
16. The algebra of divided difference operators
17. Equivariant homology
18. Bott-_Samelson varieties and Schubert varieties
19. Structure constants
A. Algebraic topology
B. Specialization in equivariant Borel-_Moore homology
C. Pfaffians and Q-polynomials
D. Conventions for Schubert varieties
E. Characteristic classes and equivariant cohomology
References
Notation index
Subject index.