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Derived categories for the working mathematician

R. P. Thomas
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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.

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R. P. Thomas. 2001-10-17. Derived categories for the working mathematician. https://arxiv.org/abs/math/0001045

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