vix.ing · top · new · best · stats · spec

Derived categories for the working mathematician

2000/01/31 by R. P. Thomas
Mathematics · Physics and Astronomy · #math.AG #hep-th #msc:18E30

paper · pdf

published as Proceedings of the Winter School on mirror symmetry, vector bundles and lagrangian cycles, Harvard, January 1999. International Press 2001 · Silly mistake pointed out by Tony Scholl corrected

arxiv created 2001/10/17 · arxiv updated 2009/11/30

Abstract

It is becoming increasingly difficult for geometers and even physicists to avoid papers containing phrases like `triangulated category', not to mention derived functors. I will give some motivation for such things from algebraic geometry, and show how the concepts are already familiar from topology. This gives a natural and simple way to look at cohomology and other scary concepts in homological algebra like Ext, Tor, hypercohomology and spectral sequences.

Related