Derived categories for the working mathematician
Jan, 199913 pages
Part of Proceedings, Winter School on Mirror Symmetry and Vector Bundles : Cambridge, Massachusetts, January 4-15, 1999, 349-361
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- AMS/IP Stud.Adv.Math. 23 (2001) 349-361
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- math/0001045 [math.AG]
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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.References(4)
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