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D.15.3.27 chSymm2L
Procedure from library chern.lib (see chern_lib).
- Usage:
- chSymm2L(r, c); r integer, c list of polynomials
- Return:
- list of polynomials
- Purpose:
- computes the Chern classes of the second symmetric 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..2)), dp;
list l=c(1..2);
// the Chern classes of the second symmetric power of a vector bundle of rank 2
print( chSymm2L(2, l));
==> [1]:
==> 3
==> [2]:
==> [1]:
==> 3*c(1)
==> [2]:
==> 2*c(1)^2+4*c(2)
==> [3]:
==> 4*c(1)*c(2)
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