# ChainComplexOperations : Index

- ChainComplexOperations -- Symmetric and exterior squares of a complex and the 2nd Adams operation
- chi2 -- Euler characteristic of the 2nd Adams operation applied to a complex
- chi2(ChainComplex) -- Euler characteristic of the 2nd Adams operation applied to a complex
- eulerCharacteristic -- sum of the lengths of the even degree homology minus the odd degree homology groups
- eulerCharacteristic(ChainComplex) -- sum of the lengths of the even degree homology minus the odd degree homology groups
- evenHomologyLength -- sum of the lengths of the even degree homology groups
- evenHomologyLength(ChainComplex) -- sum of the lengths of the even degree homology groups
- excess -- Difference between the sum of the lengths of Tor_i(M,M) and the Walker bound 2^d*length(M)
- excess(ChainComplex) -- Difference between the sum of the lengths of Tor_i(M,M) and the Walker bound 2^d*length(M)
- excess(Module) -- Difference between the sum of the lengths of Tor_i(M,M) and the Walker bound 2^d*length(M)
- oddHomologyLength -- sum of the lengths of the odd degree homology groups
- oddHomologyLength(ChainComplex) -- sum of the lengths of the odd degree homology groups
- reverseFactors -- The isomorphism from F**G to G**F when F,G are complexes
- reverseFactors(ChainComplex,ChainComplex) -- The isomorphism from F**G to G**F when F,G are complexes
- reverseFactors(Module,Module,ZZ,ZZ) -- The isomorphism from F**G to G**F when F,G are complexes
- sym2 -- symmetric square of a chain complex
- sym2(ChainComplex) -- symmetric square of a chain complex
- testWalker -- tests Walker's formula
- wedge2 -- exterior square of a chain complex
- wedge2(ChainComplex) -- exterior square of a chain complex