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- Charles Doran, Stefan Méndez-Diez, Jonathan Rosenberg
- 2015

We analyze the brane content and charges in all of the orientifold string theories on space-times of the form $${E \times \mathbb{R}^8}$$E×R8, where E is an elliptic curve with holomorphic or… (More)

- Matt Kerr, Charles Doran
- 2008

We construct classes in the motivic cohomology of certain 1-parameter families of Calabi–Yau hypersurfaces in toric Fano n-folds, with applications to local mirror symmetry (growth of genus 0… (More)

An Adinkra is a class of graphs with certain signs marking its vertices and edges, which encodes off-shell representations of the super Poincar\'e algebra. The markings on the vertices and edges of… (More)

At special loci in their moduli spaces, Calabi–Yau manifolds are endowed with discrete symmetries. Over the years, such spaces have been intensely studied and have found a variety of important… (More)

- Charles Doran
- 2010

- Charles Doran
- 2003

An explicit formula is derived for the generating function of vertical D4–D2–D0 bound states on smooth K3 fibered Calabi–Yau threefolds, generalizing previous results of Gholampour and Sheshmani. It… (More)

The third del Pezzo surface admits a unique Kähler-Einstein metric, which is not known in closed form. The manifold’s toric structure reduces the Einstein equation to a single Monge-Ampère equation… (More)

- Charles Doran
- 2012

- Xi Chen, Charles Doran, Matt Kerr, James Lewis
- 2011

Using Gauss-Manin derivatives of generalized normal functions, we arrive at results on the non-triviality of the transcendental regulator for Km of a very general projective algebraic manifold. Our… (More)