Abstract
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We study a class of Grassmannians of subbimodules over the path algebras of
quivers. Our quiver Grassmannians include Escobar’s brick manifolds as well as
Labelle’s generalizations. We give an explicit construction of the varieties
in question, provide examples and clarify the connection with the quiver
representation spaces. We also prove smoothness of our Grassmannians,
construct cellular decompositions and derive a realization as framed moduli
spaces. The framed moduli realization leads to a recursive formula for the
motives.
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Keywords
quivers, representations, Grassmannians
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Mathematical Subject Classification
Primary: 14M15, 16G20
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Milestones
Received: 6 November 2025
Revised: 23 May 2026
Accepted: 24 May 2026
Published: 10 August 2026
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| © 2026 The Author(s), under
exclusive license to MSP (Mathematical Sciences Publishers).
Distributed under the Creative Commons
Attribution License 4.0 (CC BY). |
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