Chern Classes of Exterior Products of a vector bundle. - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-20T04:42:26Z http://mathoverflow.net/feeds/question/108852 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/108852/chern-classes-of-exterior-products-of-a-vector-bundle Chern Classes of Exterior Products of a vector bundle. Anant Atyam 2012-10-04T19:38:09Z 2012-10-04T19:38:09Z <p>This is mostly a question in combinatorics. Is there a clean way in terms of determinantal identities to write down $c(\wedge^k V)$ i.e. the individual summands in terms of the individual summands of $c(V)$. I am aware of the fact that it involves writing new symmetric polynomials in terms of the elementary ones if one uses splitting principle formalism. But I was just wondering is there are any nice identities in symmetric function theory that allows us to do this without referring to kostka numbers and the matrix $K_{\lambda\mu}$ </p>