BPS invariants from $p$-adic integrals

Francesca Carocci, Giulio Orecchia, Dimitri Wyss

We define $p$-adic BPS or $p$BPS-invariants for moduli spaces $M_{\beta ,\chi }$ of 1-dimensional sheaves on del Pezzo surfaces by means of integration over a non-archimedean local field $F…