Tor -- computes Tor of two Cp-Mackey fuctors

Usage:

Tor_i(M,N)
Inputs:
- i, an integer,
- M, a C_p Mackey Functor,
- N, a C_p Mackey Functor,
Outputs:
- a C_p Mackey Functor, the $i$th Tor Cp-Mackey Functor of $M$ and $N$

Description

Given two Cp-Mackey functors $M$ and $N$, we can compute their $i$th Tor.

i1 : RU = makeComplexRepresentationMackeyFunctor(3);

i2 : prune Tor_3(RU,RU)

o2 =                                         Res : 0
     cokernel | 3 0 0 0 0 0 0 0 0 0 0 0 |  -----------> 0  -┐ Conj : 0
                                          <-----------     <┘
                                             Tr : 0

o2 : CpMackeyFunctor

Ways to use Tor:

Tor_ZZ(CpMackeyFunctor,CpMackeyFunctor)
Tor_ZZ(Ideal,Ideal) -- see Tor_ZZ(Module,Module) -- compute a Tor module
Tor_ZZ(Ideal,Module) -- see Tor_ZZ(Module,Module) -- compute a Tor module
Tor_ZZ(Ideal,Ring) -- see Tor_ZZ(Module,Module) -- compute a Tor module
Tor_ZZ(Module,Ideal) -- see Tor_ZZ(Module,Module) -- compute a Tor module
Tor_ZZ(Module,Module) -- compute a Tor module
Tor_ZZ(Module,Ring) -- see Tor_ZZ(Module,Module) -- compute a Tor module
Tor_ZZ(Ring,Ideal) -- see Tor_ZZ(Module,Module) -- compute a Tor module
Tor_ZZ(Ring,Module) -- see Tor_ZZ(Module,Module) -- compute a Tor module
Tor_ZZ(Ring,Ring) -- see Tor_ZZ(Module,Module) -- compute a Tor module

For the programmer

The object Tor is a scripted functor.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/CpMackeyFunctors/Documentation/HomAlgDoc.m2:46:0.