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math.CT2018★ 2 cited
The (he)art of gluing
Giovanni Luca Marchetti, Domenico Fiorenza
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 -structure n…
math.CT2015★ 2 cited
Hearts and towers in stable infinity-categories
Domenico Fiorenza, Fosco Loregian, Giovanni Marchetti
We exploit the equivalence between -structures and normal torsion theories on a stable -category to show how a few classical topics in the theory of triangulated categor…