Is there a good introduction to characteristic cycle of D modules(or constructive sheaves)? I just encountered this concept recently and I really would like to see some examples of calculations using characteristic cycles.
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Hotta, Takeuchi, and Tanasaki's "D-modules, perverse sheaves and representation theory" has a calculation of the characteristic cycle of an integrable connection.
You might also try computing examples with D being the nth Weyl algebra, in which case you can use Groebner basis theory. Macaulay2 has a package for these types of computations.
answered May 20, 2017 at 18:18