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Counting sheaves on Calabi-Yau 4-folds

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Oh, Jeongseok

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Counting sheaves on Calabi-Yau 4-folds
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18
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We define a localised Euler class for isotropic sections, and isotropic cones, in SO(N) bundles. We use this to give an algebraic definition of Borisov-Joyce's sheaf counting invariants on Calabi-Yau 4-folds. When a torus acts, we prove a localisation result. This talk is based on the joint work with R. P. Thomas.