6 citations · 18 across the 7 of their papers we have counts for
7 papers
Categorifying equivariant monoids
Daniel Graves
Equivariant monoids are very important objects in many branches of mathematics: they combine the notion of multiplication and the concept of a group action. In this paper we will c…
Reflexive homology
Daniel Graves
Reflexive homology is the homology theory associated to the reflexive crossed simplicial group; one of the fundamental crossed simplicial groups. It is the most general way to exte…
E-infinity structure in hyperoctahedral homology
Daniel Graves
Hyperoctahedral homology for involutive algebras is the homology theory associated to the hyperoctahedral crossed simplicial group. It is related to equivariant stable homotopy the…
Composing PROBs
Daniel Graves
A PROB is a "product and braid" category. Such categories can be used to encode the structure borne by an object in a braided monoidal category. In this paper we provide PROBs whos…
Hyperoctahedral Homology for Involutive Algebras
Daniel Graves
Hyperoctahedral homology is the homology theory associated to the hyperoctahedral crossed simplicial group. It is defined for involutive algebras over a commutative ring using func…
A Comparison Map for Symmetric Homology and Gamma Homology
Daniel Graves
We construct a comparison map between the gamma homology theory of Robinson and Whitehouse and the symmetric homology theory of Fiedorowicz and Ault in the case of an augmented, co…
PROPs for involutive monoids and involutive bimonoids
Daniel Graves
The category of involutive non-commutative sets encodes the structure of an involution compatible with a (co)associative (co)multiplication. We prove that the category of involutiv…