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We use Young's raising operators to introduce and study double thetapolynomials, which specialize to both the theta polynomials of Buch, Kresch,and Tamvakis, and to double (or factorial) Schur S-polynomials andQ-polynomials. These double theta polynomials give Giambelli formulas whichrepresent the equivariant Schubert classes in the torus-equivariant cohomologyring of symplectic Grassmannians, and we employ them to obtain a newpresentation of this ring in terms of intrinsic generators and relations.

Double theta polynomials and equivariant Giambelli formulas