{"product_id":"equivariant-cohomology-in-algebraic-geometry-paperback-softback-9781009349970","title":"Equivariant Cohomology in Algebraic Geometry (Paperback \/ softback) 9781009349970","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eEquivariant Cohomology in Algebraic Geometry\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA graduate-level introduction to the core notions of equivariant cohomology, an indispensable tool in several areas of modern mathematics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDavid Anderson (Author), William Fulton (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009349970, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 15 May 2025\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e464 pages\u003cbr\u003e22.9 x 15.2 x 2.4 cm, 0.666 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'Equivariant Cohomology in Algebraic Geometry by David Anderson and William Fulton offers a comprehensive, accessible exploration of the development, standard examples, and recent contributions in this fascinating field. The authors have successfully struck a balance between rigor and approachability, making it an excellent resource for young researchers in the field. The book's real strength lies in its application to toric varieties and Schubert varieties across various settings, including Grassmannians, flag varieties, degeneracy loci, and extensions to other classical types and Kac–Moody groups. The authors' treatment of Bott-Samelson desingularizations of Schubert varieties is particularly noteworthy, displaying elegance and coherence within the context of the book's material. With over 450 pages of content, Equivariant Cohomology in Algebraic Geometry offers a comprehensive resource for researchers and scholars. It is poised to become a standard reference in the field, leaving a lasting impact on the flourishing area of research for years to come.' Sara Billey, University of Washington\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eEquivariant 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Preview\u003cbr\u003e 2. Defining equivariant cohomology\u003cbr\u003e 3. Basic properties\u003cbr\u003e 4. Grassmannians and flag varieties\u003cbr\u003e 5. Localization I\u003cbr\u003e 6. Conics\u003cbr\u003e 7. Localization II\u003cbr\u003e 8. Toric varieties\u003cbr\u003e 9. Schubert calculus on Grassmannians\u003cbr\u003e 10. Flag varieties and Schubert polynomials\u003cbr\u003e 11. Degeneracy loci\u003cbr\u003e 12. Infinite-dimensional flag varieties\u003cbr\u003e 13. Symplectic flag varieties\u003cbr\u003e 14. Symplectic Schubert polynomials\u003cbr\u003e 15. Homogeneous varieties\u003cbr\u003e 16. The algebra of divided difference operators\u003cbr\u003e 17. Equivariant homology\u003cbr\u003e 18. Bott–_Samelson varieties and Schubert varieties\u003cbr\u003e 19. Structure constants\u003cbr\u003e A. Algebraic topology\u003cbr\u003e B. Specialization in equivariant Borel–_Moore homology\u003cbr\u003e C. Pfaffians and Q-polynomials\u003cbr\u003e D. Conventions for Schubert varieties\u003cbr\u003e E. Characteristic classes and equivariant cohomology\u003cbr\u003e References\u003cbr\u003e Notation index\u003cbr\u003e Subject index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52413989454104,"sku":"9781009349970","price":30.96,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009349970i.jpg?v=1784334081","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/equivariant-cohomology-in-algebraic-geometry-paperback-softback-9781009349970","provider":"Freshly Printed Books","version":"1.0","type":"link"}