12 citations · 23 across the 6 of their papers we have counts for
8 papers
Massey products for homotopy inner products
Kate Poirier, Thomas Tradler, Scott O. Wilson
This paper defines Massey-type products for a homotopy inner product on an algebra, called Massey inner products. We include an explicit description of ordinary Massey p…
A note on the string topology BV-algebra for with coefficients
Kate Poirier, Thomas Tradler
Luc Menichi showed that the BV algebras on coming from string topology and the one on using Poincaré d…
Splittings and calculational techniques for higher THH
Irina Bobkova, Eva Höning, Ayelet Lindenstrauss +3
Tensoring finite pointed simplicial sets with commutative ring spectra yields important homology theories such as (higher) topological Hochschild homology and torus homology. We pr…
Koszuality of the dioperad
Kate Poirier, Thomas Tradler
Define a -algebra as an associative algebra with a symmetric and invariant co-inner product of degree . Here, we consider as a dioperad whic…
The Combinatorics of Directed Planar Trees
Kate Poirier, Thomas Tradler
We give a geometric realization of the polyhedra governed by the structure of associative algebras with co-inner products, or more precisely, governed by directed planar trees. Our…
Chain-Level String Topology Operations
Gabriel C. Drummond-Cole, Kate Poirier, Nathaniel Rounds
We construct a space of string diagrams, which are a type of fatgraph with some additional data, and show that there are string topology operations on the chains of the free loop s…
On the higher topological Hochschild homology of and commutative -group algebras
Irina Bobkova, Ayelet Lindenstrauss, Kate Poirier +2
We extend Torleif Veen's calculation of higher topological Hochschild homology from to for odd, and from to $n\l…
Compactifying String Topology
Kate Poirier, Nathaniel Rounds
We study the string topology of a closed oriented Riemannian manifold M. We describe a compact moduli space of diagrams, and show how the cellular chain complex of this space gives…