منابع مشابه
Groupoid sheaves as Hilbert modules
We provide a new characterization of the notion of sheaf on an étale groupoid G, in terms of a particular kind of Hilbert module on the quantale O(G) of the groupoid. All the theory is developed in the context of the more general class of quantales known as stable quantal frames, of which examples are easy to construct because their category is algebraic. The homomorphisms of our Hilbert module...
متن کاملGroupoid Actions as Quantale Modules * Pedro Resende
For an arbitrary localic étale groupoid G we provide simple descriptions, in terms of modules over the quantale O(G) of the groupoid, of the continuous actions of G, including actions on open maps and sheaves. The category of G-actions is isomorphic to a corresponding category of O(G)-modules, and as a corollary we obtain a new quantale based representation of étendues.
متن کاملCoherent Sheaves and Cohesive Sheaves
We consider coherent and cohesive sheaves of O–modules over open sets Ω ⊂ Cn. We prove that coherent sheaves, and certain other sheaves derived from them, are cohesive; and conversely, certain sheaves derived from cohesive sheaves are coherent. An important tool in all this, also proved here, is that the sheaf of Banach space valued holomorphic germs is flat. To Linda Rothschild on her birthday
متن کاملSheaves on fibered threefolds and quiver sheaves
This paper classifies a class of holomorphic D-branes, closely related to framed torsion-free sheaves, on threefolds fibered in resolved ADE surfaces over a general curve C, in terms of representations with relations of a twisted Kronheimer– Nakajima-type quiver in the category Coh(C) of coherent sheaves on C. For the local Calabi–Yau case C ∼= A and special choice of framing, one recovers the ...
متن کاملVector Sheaves Associated with Principal Sheaves
In the framework of Abstract Differential Geometry, especially that dealing with vector sheaves (as expounded in [8]) and principal sheaves (initiated by [9]), we show that to a given principal sheaf (P ,G,X, π) together with a representation φ : G → GL(n,A), we associate a vector sheaf (E ,X, p). If φ is compatible with the representations of G and GL(n,A) into appropriate sheaves of Lie algeb...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2012
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2011.05.002