Macaulay2 » Documentation
Packages » SpectralSequences :: connectingMorphism

next | previous | forward | backward | up | index | toc

connectingMorphism -- use spectral sequences to compute connecting morphisms

Synopsis

Usage:

g = connectingMorphism(f, n)
Inputs:
- f, a chain complex map,
- n, an integer,
Outputs:
- g, a matrix,

Description

Given a morphism $f: A \rightarrow B$ of chain complexes returns the connecting map $H_{n+1}(coker f) \rightarrow H_n (im f)$.

Ways to use connectingMorphism :

connectingMorphism(ChainComplexMap,ZZ) -- use spectral sequences to compute connecting morphisms

For the programmer

The object connectingMorphism is a method function.