Equivariant Cohomology in Algebraic Geometry

Cambridge University Press

Equivariant Cohomology in Algebraic GeometryAuthor(s): David Anderson, William Fulton\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9781009349987, 978-1009349987\nSynopsis\nEquivariant cohomology has become an indispensable tool in algebraic geometry and in related areas including representation theory, combinatorial and enumerative geometry, and algebraic combinatorics. This text introduces the main ideas of the subject for first- or second-year graduate students in mathematics, as well as researchers working in algebraic geometry or combinatorics. The first six chapters cover the basics: definitions via finite-dimensional approximation spaces, computations in projective space, and the localization theorem. The rest of the text focuses on examples toric varieties, Grassmannians, and homogeneous spaces along with applications to Schubert calculus and degeneracy loci. Prerequisites are kept to a minimum, so th.