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Home > Index Formulae for Line Bundle Cohomology on Complex Surfaces
 
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Title Index Formulae for Line Bundle Cohomology on Complex Surfaces
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Author(s) Brodie, Callum (speaker)
Corporate author(s) CERN. Geneva
Imprint 2019-06-27. - 0:16:14.
Series (Conferences & Workshops)
(String Phenomenology 2019)
Lecture note on 2019-06-27T17:15:00
Subject category Conferences & Workshops
Abstract In many string theory applications, line bundle cohomologies are required input, for example in model-building with heterotic string theory, Type II string theories, or F-theory. There exist various case-by-case methods to compute individual cohomologies, but it would be beneficial to have further understanding of and formulae for cohomologies. Recently there have been signs that closed-form expressions may exist. I will report recent progress on this: we have found general formulae that describe all line bundle cohomologies on a large class of surfaces. In particular, any cohomology on these spaces can be computed as a topological index.
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Submitted by elena.gianolio@cern.ch

 


 Record created 2019-07-05, last modified 2022-11-02
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