HH -- general homology and cohomology functor

HH is a ScriptedFunctor which serves as an interface to the methods for homology and cohomology, in the sense that, HH_i(M) is an abbreviation for homology(i,M) HH^i(M) is an abbreviation for cohomology(i,M), and HH(M) is an abbreviation for homology(,M). A second argument and optional arguments may be added.

The scripted functor HH is a member of the class ScriptedFunctor.

Functions installed in HH :

HH Sequence

HH ChainComplex -- homology of a chain complex

HH ChainComplexMap

HH^ZZ Sequence

HH^ZZ ChainComplex -- cohomology of a chain complex

HH^ZZ ChainComplexMap -- cohomology of a chain complex map

HH^ZZ CoherentSheaf -- coherent sheaf cohomology

HH^ZZ Module -- local cohomology

HH^ZZ SheafOfRings

HH^ZZ SumOfTwists -- coherent sheaf cohomology