16 citations · 81 across the 17 of their papers we have counts for
9 papers · 1 filter
Homology manifolds and euclidean bundles
Fabian Hebestreit, Markus Land, Michael Weiss +1
We construct a Poincaré complex whose periodic total surgery obstruction vanishes but whose Spivak normal fibration does not admit a reduction to a stable euclidean bundle. This co…
Mapping spaces in homotopy coherent nerves
Fabian Hebestreit, Achim Krause
We give a direct proof that middle mapping spaces in coherent nerves of Kan enriched categories have the same homotopy type as the original mapping spaces.
On the homotopy type of L-spectra of the integers
Fabian Hebestreit, Markus Land, Thomas Nikolaus
We show that quadratic and symmetric L-theory of the integers are related by Anderson duality and show that both spectra split integrally into the L-theory of the real numbers and…
Homotopical and operator algebraic twisted K-theory
Fabian Hebestreit, Steffen Sagave
Using the framework for multiplicative parametrized homotopy theory introduced in joint work with C. Schlichtkrull, we produce a multiplicative comparison between the homotopical a…
Multiplicative parametrized homotopy theory via symmetric spectra in retractive spaces
Fabian Hebestreit, Steffen Sagave, Christian Schlichtkrull
In order to treat multiplicative phenomena in twisted (co)homology, we introduce a new point-set level framework for parametrized homotopy theory. We provide a convolution smash pr…
A vanishing theorem for tautological classes of aspherical manifolds
Fabian Hebestreit, Markus Land, Wolfgang Lück +1
Tautological classes, or generalised Miller-Morita-Mumford classes, are basic characteristic classes of smooth fibre bundles, and have recently been used to describe the rational c…
Cobordism categories and moduli spaces of odd dimensional manifolds
Fabian Hebestreit, Nathan Perlmutter
We prove that the stable moduli space of -connected, -parallelizable, -dimensional manifolds is homology equivalent to an infinite loopspace for $n \geq 4, n \neq…
Twisted Spin cobordism and positive scalar curvature
Fabian Hebestreit, Michael Joachim
We show how a suitably twisted Spin-cobordism spectrum connects to the question of existence of metrics of positive scalar curvature on closed, smooth manifolds by building on fund…
The Arone-Goodwillie spectral sequence for and topological realization at odd primes
Sebastian Büscher, Fabian Hebestreit, Oliver Röndigs +1
We employ the Goodwillie spectral sequence for the iterated loop space functor in order to provide realizability conditions on certain unstable modules over the Steenrod algebra at…