000			01989nam a2200277 4500
005			20250612121410.0
008			250612b |||||||| |||| 00| 0 eng d
020			_a9781009349987
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB6 : 2 R4 NBHM _qCSL
100			_aAnderson, David _eauthor.
245			_aEquivariant cohomology in algebraic geometry
260			_aCambridge : _bCambridge University Press, _c2024.
300			_axv, 446 p. _c24 cm.
440			_vCambridge studies in advanced mathematics ; 210
500			_ainclude bibliography and index.
520			_aEquivariant 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 that one-semester graduate-level courses in algebraic geometry and topology should be sufficient preparation. Featuring numerous exercises, examples, and material that has not previously appeared in textbook form, this book will be a must-have reference and resource for both students and researchers for years to come.
650			_2Equivariant Cohomology
650			_2Grassmannians and flag varieties
650			_2Toric Varieties
650			_2Conics
650			_2Degeneracy Loci
700			_aFulton, William _eco-author. _9494591
942			_2CC _n0 _cTEXL _hB6 : 2 R4 NBHM
999			_c1431642 _d1431642