Carl Lian

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math.AG2024

Modularity of $d$ -elliptic loci with level structure

François Greer, Carl Lian, Naomi Sweeting

We consider the generating series of special cycles on $A_{1} (N) \times A_{g} (N)$ , with full level $N$ structure, valued in the cohomology of degree $2 g$ . The modula…

math.AG2024

$d$ -elliptic loci and the Torelli map

François Greer, Carl Lian

We show that two natural cycle classes on the moduli space of compact type stable maps to a varying elliptic curve agree. The first is the virtual fundamental class from Gromov-Wit…

Modularity of d-elliptic loci with level structure

d-elliptic loci and the Torelli map

Modularity of $d$ -elliptic loci with level structure

$d$ -elliptic loci and the Torelli map