6533b82ffe1ef96bd12953b5
RESEARCH PRODUCT
On the Rational Cohomology of Moduli Spaces of Curves with Level Structures
Claudio FontanariGilberto Binisubject
Pure mathematics14H10Degree (graph theory)Hyperbolic geometryMathematical analysisAlgebraic geometryModuli spaceCohomologyModuli spaceModuli of algebraic curvesMathematics - Algebraic GeometryMathematics::Algebraic GeometryDifferential geometrySpin curveGenus (mathematics)FOS: MathematicsGeometry and TopologySettore MAT/03 - GeometriaAlgebraic Geometry (math.AG)Teichmuller modular groupMathematicsdescription
We investigate low degree rational cohomology groups of smooth compactifications of moduli spaces of curves with level structures. In particular, we determine $H^k(\sgbar, \Q)$ for $g \ge 2$ and $k \le 3$, where $\sgbar$ denotes the moduli space of spin curves of genus $g$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-08-13 |