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math.AG2005★ 33 cited
On the -theory of smooth toric DM stacks
Lev A. Borisov, R. Paul Horja
We explicitly calculate the Grothendieck -theory ring of a smooth toric Deligne-Mumford stack and define an analog of the Chern character. In addition, we calculate -theory p…
math.AG2001
Derived Category Automorphisms from Mirror Symmetry
Richard Paul Horja
Inspired by the homological mirror symmetry conjecture of Kontsevich, we construct new classes of automorphisms of the bounded derived category of coherent sheaves on a smooth Cala…
math.AG1999
Hypergeometric functions and mirror symmetry in toric varieties
Richard Paul Horja
We study aspects related to Kontsevich's homological mirror symmetry conjecture in the case of Calabi-Yau complete intersections in toric varieties. In a 1996 lecture at Rutgers Un…