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Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

Standard toric geometry methods used to construct Calabi-Yau varieties may be extended to complete intersections in non-Fano varieties encoded by star triangulating non-convex polytopes. Similarly, mirror symmetry is conjectured to hold in terms of a transpolar duality generalizing the original construction of Batyrev and Borisov. The associated mirror pairs naturally …