5 citations · 10 across the 8 of their papers we have counts for
12 papers
Codes, Vertex Operators and Topological Modular Forms
Nora Ganter, Gerd Laures
We describe a new link between the theory of topological modular forms and representations of vertex operator algebras obtained by certain lattices. The construction is motivated b…
A note on the realization of relative -diagrams
Gerd Laures
We prove a relative version of the realization theorem for -diagrams in case that the underlying diagram subcategory is factorization-closed.
Towards a splitting of the -local string bordism spectrum
Gerd Laures, Björn Schuster
We show that -locally, the smash product of the string bordism spectrum and the spectrum splits into copies of Morava -theories. Here, is related to the Thom s…
Cannibalistic Classes of String Bundles
Gerd Laures, Martin Olbermann
We introduce cannibalistic classes for string bundles with values in with level structures. This allows us to compute the Morava -homology of any map from the bordism spec…
The L-Homology Fundamental Class for IP-Spaces and the Stratified Novikov Conjecture
Markus Banagl, Gerd Laures, James E. McClure
An IP-space is a pseudomanifold whose defining local properties imply that its middle perversity global intersection homology groups satisfy Poincaré duality integrally. We show th…
Characteristic classes for String bundles
Gerd Laures, Martin Olbermann
We compute the completed cohomology of the 7-connective cover of . We use cubical structures on line bundles over elliptic curves to construct an explicit…
Commutativity properties of Quinn spectra
Gerd Laures, James E. McClure
We give a simple sufficient condition for Quinn's "bordism-type" spectra to be weakly equivalent to commutative symmetric ring spectra. We also show that the symmetric signature is…
Singularities and Quinn spectra
Nils A. Baas, Gerd Laures
We introduce singularities to Quinn spectra. It enables us to talk about ads with prescribed singularities and to explicitly construct representatives for prominent spectra like Mo…
Characteristic classes in of level
Gerd Laures
Let be the spectrum of topological modular forms equipped with a -structure. We compute the -local -cohomology of and $B{\mat…
Toda brackets and congruences of modular forms
Gerd Laures
This paper investigates the relation between Toda brackets and congruences of modular forms. It determines the -invariant of Toda brackets and thereby generalizes the formulas o…
Multiplicative properties of Quinn spectra
Gerd Laures, James E. McClure
We give a simple sufficient condition for Quinn's "bordism-type spectra" to be weakly equivalent to strictly associative ring spectra. We also show that Poincare bordism and symmet…
beta-family congruences and the f-invariant
Mark Behrens, Gerd Laures
In previous work, the authors have each introduced methods for studying the 2-line of the p-local Adams-Novikov spectral sequence in terms of the arithmetic of modular forms. We gi…