This book presents a modern approach to homological algebra together with some important applications in algebraic geometry and algebraic topology. The authors Gel'fand and Manin are well-known researchers and Manin, in particular, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.
Homological algebra is an important tool in algebraic geometry and algebraic topology The book presents a modern approach to this subject taking into account applications in both these fields Includes supplementary material: sn.pub/extras
S.I. Gelfand
D-modules Homological algebra Kategorietherorie category theory d-Moduln gemischte Hodgestrukturen homologischen Algebra mixed Hodge structures algebra algebraic geometry algebraic topology cohomology Hodge theory homological algebra homology