2018/06/03 by Giovanni Luca Marchetti, Marchetti, Giovanni Luca, Domenico Fiorenza +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1806.00883
openalex publication_date 2018/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a notion of gluability for poset-indexed Bridgeland slicings on triangulated categories and show how a gluing abelian slicing on the heart of a bounded t-structure naturally induces a family of perverse t-structures. Our setup generalises the one of Collins and Polishchuk. As a corollary we recover several constructions from the theory of t-structures on triangulated categories. In particular we rediscover Levine's theorem: the Beilinson-Soulé vanishing conjecture implies the existence of Tate motives.