Contents Online
Mathematical Research Letters
Volume 7 (2000)
Number 2
Stringy Hodge numbers and Virasoro algebra
Pages: 155 – 164
DOI: https://dx.doi.org/10.4310/MRL.2000.v7.n2.a2
Author
Abstract
In this paper we define for singular varieties $X$ a rational number $c_{\rm st}^{1,n-1}(X)$ which is a stringy version of the product of Chern numbers $c_1$ and $c_{n-1}$ We show that the number $c_{\rm st}^{1,n-1}(X)$ can be expressed via stringy Hodge numbers of singular $X$ in the same way as $c_1c_{n-1}$ expresses via usual Hodge numbers for smooth manifolds. Our result provides some evidences for the existence of quantum cohomology theory of singular varieties $X$ based on representation of the Virasoro algebra whose central charge is the rational number $e_{\rm st}(X)$ which equals the stringy Euler number of $X$.
Published 1 January 2000