3 papers
math.AT2020
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…
math.AT2020
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…
math.AT2020
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…