Results 81 to 90 of about 120 (113)
Spectral Networks and Stability Conditions for Fukaya Categories with Coefficients. [PDF]
Haiden F, Katzarkov L, Simpson C.
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Crossed Modules Over Operads and Operadic Cohomology
K-Theory, 2004This article introduces and studies secondary operads. These are defined as operads in the symmetric monoidal category \(Pair(Mod)\) whose objects are maps \(f:A\to B\) between pairs of graded modules. The definition is made explicit by a full description of all the structure maps of a secondary operad and of all the unit, associativity and ...
Baues, H., Minian, E., Richter, B.
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2012
In this chapter, we first treat in detail the operad encoding the category of associative algebras along the lines of the preceding chapters. This is a particularly important example, because associative algebras are everywhere in mathematics, and because it will serve as a toy-model in the theory of operads.
Jean-Louis Loday, Bruno Vallette
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In this chapter, we first treat in detail the operad encoding the category of associative algebras along the lines of the preceding chapters. This is a particularly important example, because associative algebras are everywhere in mathematics, and because it will serve as a toy-model in the theory of operads.
Jean-Louis Loday, Bruno Vallette
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On the operad of bigraft algebras
Journal of Algebraic Combinatorics, 2014A bigraft algebra is a vector space \(A\) with three products \(*,\prec,\succ\) such that for all \(x,y,z\in A\): \[ \begin{alignedat}{3} (x*y)\succ z &=x\succ (y\succ z),&\quad (x\succ y)*z& =x\succ (y*z),&\quad (x\prec y)\prec z& =x\prec(y*z),\\ (x*y)\prec z& =x*(y\prec z),&\quad (x\succ y)\prec z& =x\succ (y\prec z),&\quad (x*y)*z& =x*(y*z).\end ...
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