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Intersection numbers with Witten's top Chern class
Witten's top Chern class is a particular cohomology class on the moduli space
of Riemann surfaces endowed with r-spin structures. It plays a key role in
Witten's conjecture relating to the intersection theory on these moduli spaces.
Our first goal is to compute the integral of Witten's class over the
so-called double ramification cycles in genus 1. We obtain a simple closed
formula for these integrals.
This allows us, using the methods of [15], to find an algorithm for computing
the intersection numbers of the Witten class with powers of the \psi-classes
(or tautological classes) over any moduli space of r-spin structures, in short,
all numbers involved in Witten's conjecture.Comment: 27 page
EERTREE: An Efficient Data Structure for Processing Palindromes in Strings
We propose a new linear-size data structure which provides a fast access to
all palindromic substrings of a string or a set of strings. This structure
inherits some ideas from the construction of both the suffix trie and suffix
tree. Using this structure, we present simple and efficient solutions for a
number of problems involving palindromes.Comment: 21 pages, 2 figures. Accepted to IWOCA 201
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