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20032011
most citedQuantum cohomology of [C^N/μ_r]

13 citations · 48 across the 10 of their papers we have counts for

collaborators

10 papers

math.AG2011★ 4 cited

Expanded degenerations and pairs

Dan Abramovich, Charles Cadman, Barbara Fantechi +1

Since Jun Li's original definition, several other definitions of expanded pairs and expanded degenerations have appeared in the literature. We explain how these definitions are rel…

math.AG2010★ 9 cited

The Orbifold Topological Vertex

Jim Bryan, Charles Cadman, Ben Young

We define Donaldson-Thomas invariants of Calabi-Yau orbifolds and we develop a topological vertex formalism for computing them. The basic combinatorial object is the orbifold verte…

math.AG2010★ 4 cited

Relative and orbifold Gromov-Witten invariants

Dan Abramovich, Charles Cadman, Jonathan Wise

We prove that genus zero Gromov--Witten invariants of a smooth scheme relative to a smooth divisor coincide with genus zero orbifold Gromov--Witten invariants of an appropriate roo…

math.AG2007★ 13 cited

Quantum cohomology of [C^N/μ_r]

Arend Bayer, Charles Cadman

We give a construction of the moduli space of stable maps to the classifying stack Bμ_r of a cyclic group by a sequence of r-th root constructions on M_{0, n}. We prove a closed fo…

math.AG2007★ 9 cited

Gerby Localization, Z_3-Hodge Integrals and the GW Theory of C^3/Z_3

Charles Cadman, Renzo Cavalieri

We exhibit a set of recursive relations that completely determine all equivariant Gromov-Witten invariants of the quotient orbifold C^3/Z_3. We interpret such invariants as G-Hodge…

math.AG2007

Enumeration of rational plane curves tangent to a smooth cubic

Charles Cadman, Linda Chen

We use twisted stable maps to compute the number of rational degree d plane curves having prescribed contacts to a smooth plane cubic.