The connective topological modular forms spectrum, $ tmf $, is in a sense initial among
elliptic spectra, and as such is an important link between the homotopy groups of spheres …

We explore the C 2–equivariant spectra Tmf 1 (3) and TMF 1 (3). In particular, we compute
their C 2–equivariant Picard groups and the C 2–equivariant Anderson dual of Tmf 1 (3) …

The cohomology theory known as Tmf Tmf, for “topological modular forms,” is a universal
object mapping out to elliptic cohomology theories, and its coefficient ring is closely …

We compute the mod $2 $ homology of the spectrum $\mathrm {tmf} $ of topological modular
forms by proving a 2-local equivalence $\mathrm {tmf}\wedge DA (1)\simeq\mathrm {tmf} _1 …

Given an algebraic stack, one may compare the derived category of quasi-coherent sheaves
on with the category of dg-modules over the dg-ring of functions on. We study the analogous …

In this article, we study the topological Hochschild homology of $\mathbf {E} _3 $-forms of
truncated Brown-Peterson spectra, taken relative to certain Thom spectra $ X (p^ n) …

The dual Steenrod algebra has a canonical subalgebra isomorphic to the homology of the
Brown--Peterson spectrum. We will construct a secondary operation in mod-2 homology and …

We present a new proof of Anderson's result that the real K-theory spectrum is Anderson self-
dual up to a fourfold suspension shift; more strongly, we show that the Anderson dual of the …

For a multiplicative cohomology theory E, complex orientations are in bijective
correspondence with multiplicative natural transformations to E from complex bordism …

Fix a prime number p and an integer n ≥ 0 n≥ 0. We prove that if ap-complete spectrum X
satisfying a mild finiteness condition has the same mod p cohomology as BP ⟨ n ⟩ BP⟨ n⟩ …