poincareN -- assemble degrees into polynomial

poincareN -- assemble degrees into polynomial

poincareN C -- encodes information about the degrees of basis elements of a free chain complex in a polynomial.

The polynomial has a term S^i T_0^(d_0) ... T_(n-1)^(d_(n-1)) in it for each basis element of C_i with multi-degree {d_0,...,d_(n-1)}.

i1 : R = ZZ/101[a..d]



o1 = R



o1 : PolynomialRing

i2 : poincareN resolution cokernel vars R



       4  4      3  3      2  2

o2 = $S $T  + 4$S $T  + 6$S $T  + 4$S*$T  + 1

          0         0         0         0



o2 : ZZ [$S, $T , Inverses => true]

               0

Ways to use poincareN :

poincareN ChainComplex