Sauvaget Lab

National Centre for Scientific Research (CNRS)

Ile-de-France (FR1) · France

ERC-funded
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ERC Starting Grant · 2024

Spin Curves Enumeration

Enumerative geometry aims at counting geometric objects that satisfy specific algebraic conditions. The modern treatment of enumerative problems of curves has revealed deep connections between geometry, representation theory, and theoretical physics. These connections are established through the cohomology of moduli spaces of curves. The description of the structure of these cohomology groups is crucial in this modern perspective, and I will use spin curves to address this issue. Spin curves are refinements of curves carrying an extra sign, + or -, that enables the construction of new cohomology classes called spin classes. Spin classes carry rich algebraic structures that can be used to…

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