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Index Formulae for Line Bundle Cohomology on Complex Surfaces

Callum Brodie · CERN

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About

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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The talk

  1. Index Formulae for Line Bundle Cohomology on Complex Surfaces 2019-06-27 · 17 min · CERN's player

Credits and licence

Institution
CERN
Department
Conferences & Workshops
Speaker
Callum Brodie
Year
2019
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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