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Geometry of the locus of polynomials of degree 4 with iterative roots
Geometry polynomials iterative roots
2010/11/23
We study polynomial iterative roots of polynomials and describe the locus of complex polynomials of degree 4 admitting a polynomial iterative square root.
Quaternionic Grassmannians and Pontryagin classes in algebraic geometry
Quaternionic Grassmannians Pontryagin classes algebraic geometry
2010/11/9
The quaternionic Grassmannian HGr(r,n) is the affine open subscheme of the ordinary Grassmannian parametrizing those 2r-dimensional subspaces of a 2n-dimensional symplectic vector space on which the ...
Modifications of Hodge bundles and enumerative geometry : the stable hyperelliptic locus. Part 1: semicompact type
Hodge bundles enumerative geometry stable hyperelliptic locus
2010/11/9
We compute, in terms of tautological classes, the fundamental class of the locus of stable hyperelliptic curves, i.e. the closure in the moduli space of stable curves of the locus of smooth hyperellip...
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
Algebras Pseudo-Differential Operators Geometry of Loop Groups
2010/10/29
Using {\it weighted traces} which are linear functionals of the type $$A\to tr^Q(A):=(tr(A Q^{-z})-z^{-1} tr(A Q^{-z}))_{z=0}$$ defined on the whole algebra of (classical) pseudo-differential operato...
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
Algebras Pseudo-Differential Operators Geometry of Loop Groups
2010/10/29
Using {\it weighted traces} which are linear functionals of the type $$A\to tr^Q(A):=(tr(A Q^{-z})-z^{-1} tr(A Q^{-z}))_{z=0}$$ defined on the whole algebra of (classical) pseudo-differential operator...