35 citations · 123 across the 14 of their papers we have counts for
18 papers
Picard sheaves, local Brauer groups, and topological modular forms
Benjamin Antieau, Lennart Meier, Vesna Stojanoska
We prove that the Brauer group of TMF is isomorphic to the Brauer group of the derived moduli stack of elliptic curves. Then, we compute the local Brauer group, i.e., the subgroup…
Connective Models for Topological Modular Forms of Level
Lennart Meier
The goal of this article is to construct and study connective versions of topological modular forms of higher level like . In particular, we use them to realize…
The localized slice spectral sequence, norms of Real bordism, and the Segal conjecture
Lennart Meier, XiaoLin Danny Shi, Mingcong Zeng
In this paper, we introduce the localized slice spectral sequence, a variant of the equivariant slice spectral sequence that computes geometric fixed points equipped with residue g…
On equivariant topological modular forms
David Gepner, Lennart Meier
Following ideas of Lurie, we give in this article a general construction of equivariant elliptic cohomology without restriction to characteristic zero. Specializing to the universa…
Purity in chromatically localized algebraic -theory
Markus Land, Akhil Mathew, Lennart Meier +1
We prove a purity property in telescopically localized algebraic -theory of ring spectra: For , the -localization of only depends on the $T(0)\oplus \dots…
Rings of modular forms and a splitting of
Lennart Meier, Viktoriya Ozornova
Among topological modular forms with level structure, at the prime is the first example that had not been understood yet. We provide a splitting of at the…
A Whitehead theorem for periodic homotopy groups
Tobias Barthel, Gijs Heuts, Lennart Meier
We show that -periodic homotopy groups detect homotopy equivalences between simply-connected finite CW-complexes.
Topological modular forms with level structure: decompositions and duality
Lennart Meier
Topological modular forms with level structure were introduced in full generality by Hill and Lawson. We show that these decompose additively in many cases into a few simple pieces…
Additive decompositions for rings of modular forms
Lennart Meier
We study rings of integral modular forms for congruence subgroups as modules over the ring of integral modular forms for the full modular group. In many cases these modules are fre…
Monadicity of the Bousfield-Kuhn functor
Rosona Eldred, Gijs Heuts, Akhil Mathew +1
We consider the localization of the -category of spaces at the -periodic equivalences, the case being rational homotopy theory. We prove that this localization i…
The Brauer group of the moduli stack of elliptic curves
Benjamin Antieau, Lennart Meier
We compute the Brauer group of the moduli stack of elliptic curves over the integers, localizations of the integers, finite fields of odd characteristic, and algebraically closed f…
Gorenstein duality for Real spectra
J. P. C. Greenlees, Lennart Meier
Following Hu and Kriz, we study the -spectra and that refine the usual truncated Brown-Peterson and the Johnson-Wilson spectra…
The -spectrum and its invertible modules
Michael A. Hill, Lennart Meier
We explore the -equivariant spectra and . In particular, we compute their -equivariant Picard groups and the -equivariant Anderson dual of $Tmf_…
Fibration Categories are Fibrant Relative Categories
Lennart Meier
A relative category is a category with a chosen class of weak equivalences. Barwick and Kan produced a model structure on the category of all relative categories, which is Quillen…
Fibrancy of Partial Model Categories
Lennart Meier, Viktoriya Ozornova
We investigate fibrancy conditions in the Thomason model structure on the category of small categories. In particular, we show that the category of weak equivalences of a partial m…
Affineness and chromatic homotopy theory
Akhil Mathew, Lennart Meier
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 t…
Vector Bundles on the Moduli Stack of Elliptic Curves
Lennart Meier
We study vector bundles on the moduli stack of elliptic curves over a local ring R. If R is a field or a discrete valuation ring of (residue) characteristic not 2 or 3, all these v…
Spectral Sequences in String Topology
Lennart Meier
In this paper, we investigate the behaviour of the Serre spectral sequence with respect to the algebraic structures of string topology in generalized homology theories, specificial…