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- University of TorontoCA65 papers
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- Center for Astrophysics Harvard & SmithsonianUS32 papers
- University of ManchesterGB28 papers
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12 papers · 1 filter
BPS invariants for resolutions of polyhedral singularities
Jim Bryan, Amin Gholampour
We study the BPS invariants of the preferred Calabi-Yau resolution of ADE polyhedral singularities C^3/G given by Nakamura's G-Hilbert schemes. Genus 0 BPS invariants are defined b…
Singularities of admissible normal functions
Patrick Brosnan, Hao Fang, Zhaohu Nie +1
In a recent paper, M. Green and P. Griffiths used R. Thomas' works on nodal hypersurfaces to establish the equivalence of the Hodge conjecture and the existence of certain singular…
Hurwitz-Hodge Integrals, the E6 and D4 root systems, and the Crepant Resolution Conjecture
Jim Bryan, Amin Gholampour
Let G be the group A_4 or Z_2xZ_2. We compute the integral of λ_g on the Hurwitz locus H_G\subset M_g of curves admitting a degree 4 cover of P^1 having monodromy group G. We compu…
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.
Evidence for the Gromov-Witten/Donaldson-Thomas Correspondence
Amin Gholampour, Yinan Song
We study the equivariant Gromov-Witten and Donaldson-Thomas theories of -bundles over curves. We show the equivariant GW/DT correspondence holds to first order for ce…
On the de Rham Cohomology of Differential and Algebraic Stacks
Kai Behrend
We introduce the notion of cofoliation on a stack. A cofoliation is a change of the differentiable structure which amounts to giving a full representable smooth epimorphism. Cofoli…