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The \({\mathcal {H}}\)-tautological ring
We extend the theory of tautological classes on moduli spaces of stable curves to the more general setting of moduli spaces of admissible Galois...
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Unit-regular and semi-balanced elements in various semigroups of transformations
Let T ( X ) be the full transformation semigroup on a set X , and let L ( V ) be the semigroup under composition of all linear transformations on a vector...
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Epimorphic Quantum Subgroups and Coalgebra Codominions
We prove a number of results concerning monomorphisms, epimorphisms, dominions and codominions in categories of coalgebras. Examples include: (a)...
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Coalgebras and Coderivations
The description of an \(L_{\infty }[1]\) structure on a... -
Correction to: Curved Koszul duality theory
In this corrigendum, we explain and correct a mistake in our article “Curved Koszul duality theory” [
1 ]. Our definitions of morphisms between... -
Models of quadric surface bundles
We establish the existence of models of quadric surface bundles with prescribed étale local forms.
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Semisimple Characters for Inner Forms I: GLm(D)
The article is about the representation theory of an inner form G of a general linear group over a non-Archimedean local field. We introduce...
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On certain semigroups of transformations whose restrictions belong to a given semigroup
Let T ( X ) (resp. L(V)) be the semigroup of all transformations (resp. linear transformations) of a set X (resp. vector space V ). For a subset Y of X ...
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Tree Summation Formulas
It is a common feature in mathematics that recursive formulas can often be expanded into summation formulas over a certain set of combinatorial data.... -
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\(L_{\infty }\) -Morphisms
In-morphism Chap. 10 we introduced the décalage isomorphisms, which can be interpreted as a canonical equivalence between the categories of... -
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Category of Chain Bundles
In this paper, we describe the category of chain bundles $$\mathfrak {CB}_\mathcal...