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I'm investigating the cohomology of complex manifolds, and need to construct chain complexes, Mayer-Vietoris sequences etc. I use Mathematica for numerically tracing manifolds with geodesics, but haven't implemented any representation of cohomological classes, differentials and complexes. Has anyone used Mathematica in this area, or anything related to this (eg multidimensional topology)?

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I am doing similar computations and I hope that you will get a better answer from someone else. My current method is to use Macaulay 2 to compute representatives for my cohomology classes (people.math.gatech.edu/~aleykin3/Dmodules/index.html ) and then compute with them using Mathematica's differential forms package (library.wolfram.com/infocenter/MathSource/482 ). – David Speyer Feb 15 at 14:36
@DavidSpeyer I confess I don't understand a word of either question or comment, but I'm pretty sure your comment would rate as an answer if you expanded on it a little more. – Verbeia♦ Feb 21 at 10:20

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