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D.15.3.31 chWedge2LP
Procedure from library chern.lib (see chern_lib).
- Usage:
- chWedge2LP(r, c ); r integer, c list of polynomials
- Return:
- poly
- Purpose:
- computes the total Chern class of the second exterior power of a vector bundle
- Note:
- Implementation of the formula of Lascoux, the Schur polynomials are computed
using the second Jacobi-Trudi formula (in terms of the Chern classes)
Example:
| | LIB "chern.lib";
ring r=0, (c(1..3)), ws(1,2,3);
list l=c(1..3);
// the total Chern class of the second exterior power of a vector bundle of rank 3
print(chWedge2LP(3, l));
==> 1+2*c(1)+c(1)^2+c(2)+c(1)*c(2)-c(3)
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