Видеотека: N. A. Nekrasov, The Index of M-theory -- I

ВИДЕОТЕКА


International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics" 18 декабря 2013 г. 11:30, г. Москва, Математический институт им. В. А. Стеклова РАН

The Index of M-theory – I N. A. Nekrasov
Аннотация: Motivated by M-theory physics we will discuss a conjectural curve-counting theory in Calabi–Yau 5-folds and its relation to K-theoretic Donaldson–Thomas invariants of smooth 3-folds. Specifically, if a Calabi–Yau 5-fold Z admits an automorphism $q$ with 3-dimensinal fixed locus $X$, then the trace of $q$ on K-theoretic curve counts in $Z$ is written in terms of DT invariants of $X$ with boxcounting parameter $q$. Язык доклада: английский