5 papers
Elliptic classes, McKay correspondence and theta identities
Malgorzata Mikosz, Andrzej Weber
We revisit the construction of elliptic class given by Borisov and Libgober for singular algebraic varieties. Assuming torus action we adjust the theory to equivariant local situat…
Equivariant Hirzebruch class for quadratic cones via degenerations
Malgorzata Mikosz, Andrzej Weber
We compute the equivariant Hirzebruch class of the quadric cone in C^n degenerating it to an intersection to hyperplanes. The difference of the Hirzebruch classes (measured by the…
Triality in so(4,4), characteristic classes, D4 and G2 singularities
Malgorzata Mikosz, Andrzej Weber
We recall the construction of triality automorphism of so(8) given by E. Cartan and we give a matrix representation for the real form so(4,4). We compute the induced results on the…
Positivity of Legendrian Thom polynomials
Malgorzata Mikosz, Piotr Pragacz, Andrzej Weber
We study Legendrian singularities arising in complex contact geometry. We define a one-parameter family of bases in the ring of Legendrian characteristic classes such that any Lege…
Positivity of Thom polynomials II: the Lagrange singularities
Malgorzata Mikosz, Piotr Pragacz, Andrzej Weber
We show that Thom polynomials of Lagrangian singularities have nonnegative coefficients in the basis consisting of Q-functions. The main tool in the proof is nonnegativity of cone…