Dieser EMS-Band bietet eine moderne Darstellung der homologischen Algebra und ihrer Anwendungen. Beide Autoren sind bekannte Forscher; Manin ist berühmt für seine Arbeiten in der algebraischen Geometrie und mathematischen Physik. Das Buch wendet sich an Forscher und Studenten höherer Semester in der Mathematik und an Physiker, die Methoden der algebraischen Geometrie und algebraischen Topologie verwenden.

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

Inhalt

1. Complexes and Cohomology.- 2. The Language of Categories.- 3. Homology Groups in Algebra and in Geometry.- 4. Derived Categories and Derived Functors.- 5. Triangulated Categories.- 6. Mixed Hodge Structures.- 7. Perverse Sheaves.- 8. D-Modules.- References.- Author Index.