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Mirror symmetry of branes and hyperbolic $3$-manifolds

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Speaker: 
Hans Jockers
Affiliation: 
BCTP Bonn
Date: 
Thu, 2017-11-30 09:00 - 10:00
Location: 
MPIM Lecture Hall

We discuss the computation of normal functions between the van Geemen lines on the mirror quintic
Calabi-Yau threefold in a certain semi-stable degeneration limit. In this limit the normal functions are
described as elements of higher Chow groups. Physically this amounts to computing the domain wall
tension between certain B-branes on the mirror quintic in the large complex structure limit. By mirror
symmetry we expect that these normal functions/domain wall tensions have a geometric meaning on the
quintic Calabi-Yau threefold for suitable A-branes. As we discuss, the number theoretic structure of the
computed normal functions indicates that the relevant A-branes correspond to hyperbolic $3$-manifolds.

© MPI f. Mathematik, Bonn Impressum
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