Abstract
By counting triangles and applying the octahedral axiom, we find a direct way to prove the formula of Toën in [T, Section 5.1] for a triangulated category satisfying the (left) homological finiteness condition
Citation
Jie Xiao. Fan Xu. "Hall algebras associated to triangulated categories." Duke Math. J. 143 (2) 357 - 373, 1 June 2008. https://doi.org/10.1215/00127094-2008-021
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