Kavli Affiliate: Mikhail Kapranov | Summary:We develop the theory of semi-orthogonal decompositions and spherical functors in the framework of stable $infty$-categories. Building on this, we study the relative Waldhausen S-construction $S_bullet(F)$ of a spherical functor $F$ and equip it with a natural paracyclic structure (“rotational symmetry”). This fulfills a part of the general program to […]

Kavli Affiliate: Mikhail Kapranov | First 5 Authors: Tobias Dyckerhoff, Mikhail Kapranov, Vadim Schechtman, Yan Soibelman, | Summary: We develop the theory of semi-orthogonal decompositions and spherical functors in the framework of stable $infty$-categories. Building on this, we study the relative Waldhausen S-construction $S_bullet(F)$ of a spherical functor $F$ and equip it with a natural […]