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arXiv · 1512.03285

Universal cohomological expressions for singularities in families of genus 0 stable maps

Maxim Kazarian·Sergey Lando·Dimitri Zvonkine
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Abstract

We consider families of curve-to-curve maps that have no singularities except those of genus 0 stable maps and that satisfy a versality condition at each singularity. We provide a universal expression for the cohomology class Poincaré dual to the locus of any given singularity. Our expressions hold for any family of curve-to-curve maps satisfying the above properties.

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Maxim Kazarian, Sergey Lando, Dimitri Zvonkine. 2015-12-10. Universal cohomological expressions for singularities in families of genus 0 stable maps. https://arxiv.org/abs/1512.03285

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