Search results for "tautological ring"

showing 2 items of 2 documents

Integrable systems and moduli spaces of curves

2016

This document has the purpose of presenting in an organic way my research on integrable systems originating from the geometry of moduli spaces of curves, with applications to Gromov-Witten theory and mirror symmetry. The text contains a short introduction to the main ideas and prerequisites of the subject from geometry and mathematical physics, followed by a synthetic review of some of my papers (listed below) starting from my PhD thesis (October 2008), and with some open questions and future developements. My results include: • the triple mirror symmetry among P 1-orbifolds with positive Euler characteristic , the Landau-Ginzburg model with superpotential −xyz + x p + y q + z r with 1 p + …

Espaces de modules de courbes[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]mirror symmetrycohomological field theoriestautological ringsystèmes intégrablesintegrable systems[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]moduli spaces of stable curvesGromov-Witten theory[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]quantization[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Mathematics::Symplectic Geometry
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The Tautological Ring of Spin Moduli Spaces

2009

We introduce the notion of tautological ring for the moduli space of spin curves. Moreover, we study some relations among tautological classes which are motivated by physics. Finally, we show that the Chow rings of these moduli spaces are tautological in low genus.

Ring (mathematics)14H10Applied MathematicsGeneral MathematicsGeometryModuli spaceModuli spaceModuli of algebraic curvestautological ringTheoretical physicsMathematics::Algebraic GeometrySpin curve14E08Settore MAT/03 - Geometriaspin curvesMathematicsSpin-½
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