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Theorie homotopique des DG-categories

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arxiv 0710.4303 v1 pith:EO5PELLC submitted 2007-10-23 math.KT math.AG

Goncalo Tabuada This is my paper · ORCID
classification math.KTmath.AG
keywords categoriesalgebraicalgebrasapproachclustercontributionsdg-categoriesfomin-zelevinsky
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In this thesis we present several original contributions to the study of: - DG categories and their invariants; - Neeman's well-generated (algebraic) triangulated categories; - Fomin-Zelevinsky's cluster algebras approach via representation theory.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Orlov and Viterbo functors in partially wrapped Fukaya categories

    math.SG 2019-08 accept novelty 8.0 of 10

    For a swappable stop the Orlov functor is spherical and its twist equals the geometric wrap-once map, while the Viterbo transfer map to a Weinstein subdomain is a homological epimorphism.

  2. Filtered Topology and Persistence in Stable Homotopy

    math.AT 2025-05 reject novelty 7.0 of 10

    A persistence Spanier-Whitehead category of filtered CW complexes is defined, proven to be a triangulated persistence category, and its K-group is shown to be isomorphic to the Novikov polynomial ring via the weighted...

  3. The Azumification of orders

    math.AG 2026-06 unverdicted novelty 6.0 of 10

    Any order over a reduced separated finite type scheme over a char 0 field can be resolved by an Azumaya algebra over a smooth DM stack via a sequence of stacky blow-ups.

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