Duality for Orbifoldized Poincare Polynomials
نویسنده
چکیده
We will show that the duality for regular weight system introduced by K. Saito can be interpreted as the duality for the orbifoldized Poincare polynomial χ(W,G)(y, ȳ). Introduction In [A], Arnold discovered a strange duality among the 14 exceptional singularities. This was interpreted by Dolgachev, Nikulin and Pinkham in terms of the duality between algebraic cycles and transcendental cycles on certain K3 surfaces [DN][P]. Recently, K. Saito discovered a new duality for regular weight systems which contains the self-duality of ADE and Arnold’s strange duality. His theory of regular weight systems was originally developped in order to understand the flat strucuture in the period map for primitive forms [S1]. The theory of primitive forms can be interpreted as topological Landau–Ginzburg ∗ E-mail address : [email protected]
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