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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.
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.
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