80 citations · 135 across the 5 of their papers we have counts for
7 papers
Infinite loop spaces from operads with homological stability
Maria Basterra, Irina Bobkova, Kate Ponto +2
Motivated by the operad built from moduli spaces of Riemann surfaces, we consider a general class of operads in the category of spaces that satisfy certain homological stability co…
Inverting operations in operads
Maria Basterra, Irina Bobkova, Kate Ponto +2
We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization. For an operad O and a sub-monoid of one-ary operations W we…
Unbased calculus for functors to chain complexes
Maria Basterra, Kristine Bauer, Agnes Beaudry +4
Recently, the Johnson-McCarthy discrete calculus for homotopy functors was extended to include functors from an unbased simplicial model category to spectra. This paper completes t…
The Multiplication on BP
Maria Basterra, Michael A. Mandell
BP is an E_4 ring spectrum. The E_4 structure is unique up to automorphism.
Homology of E_n Ring Spectra and Iterated THH
Maria Basterra, Michael A. Mandell
We describe an iterable construction of THH for an E_n ring spectrum. The reduced version is an iterable bar construction and its n-th iterate gives a model for the shifted cotange…
Homology and Cohomology of E-infinity Ring Spectra
Maria Basterra, Michael A. Mandell
Every homology or cohomology theory on a category of E-infinity ring spectra is Topological Andre-Quillen homology or cohomology with appropriate coefficients. Analogous results ho…
The Witten genus and equivariant elliptic cohomology
Matthew Ando, Maria Basterra
We construct a Thom class in complex equivariant elliptic cohomology extending the equivariant Witten genus. This gives a new proof of the rigidity of the Witten genus, which exhib…