The index of M-theory
Nicolo Piazzalunga (Uppsala U.)

I'll introduce the higher-rank Donaldson-Thomas theory for toric Calabi-Yau three-folds, within the setting of equivariant K-theory.
I'll present a factorization conjecture motivated by Physics.
As a byproduct, I'll discuss some novel properties of equivariant volumes, as well as their generalizations to genus-zero Gromov-Witten theory of non-compact toric varieties.