Mathematical papers and notes

Published papers and preprints

• Johannes Ebert
  Tautological classes and higher signatures, arXiv:2403.02755
  
• Johannes Ebert, Jens Reinhold
  Some rational homology computations for diffeomorphisms of odd-dimensional manifolds, To appear in Journal of Topology (2024)
  
• Johannes Ebert:
  Diffeomorphisms of a disc, glued into a manifold, Algebraic & Geometric Topology 23 (2023), no. 5, 2329--2345.
  
• Johannes Ebert, Michael Wiemeler:
  On the homotopy type of the space of metrics of positive scalar curvature, To appear in Journal of the European Mathematical Society (2023)
  
• Johannes Ebert, Oscar Randal-Williams:
  The positive scalar curvature cobordism category, Duke Mathematical Journal 171 (2022), no 11, p. 2275--2406.
  
• Boris Botvinnik, Johannes Ebert, David Wraith:
  On the topology of the space of Ricci positive metrics, Proc. Amer. Math. Soc. 148 (2020), no. 9, 3997--4006.
  
• Johannes Ebert, Georg Frenck:
  The Gromov-Lawson-Chernysh surgery theorem, Boletín de la Sociedad Matemática Mexicana, (3) 27 (2021)
  
• Johannes Ebert, Oscar Randal-Williams:
  Infinite loop spaces and positive scalar curvature in the presence of a fundamental group, Geometry & Topology 23 (2019) 1549--1610.
  
• Johannes Ebert, Oscar Randal-Williams:
  Semi-simplicial spaces, Algebraic & Geometric Topology 19 (2019), no. 4, 2099--2150
  
• Johannes Ebert:
  Elliptic regularity for Dirac operators on families of noncompact manifolds, arXiv:1608.01699.
  
• Johannes Ebert:
  Index theory in spaces of manifolds,
  Math. Ann. 374 (2019), no. 1-2, 931--962.
• Boris Botvinnik, Johannes Ebert, Oscar Randal-Williams:
  Infinite loop spaces and positive scalar curvature, Inventiones Mathematicae 209 (2017), 749--835.
  
• Johannes Ebert:
  The two definitions of the index difference
  Transactions of the A.M.S. 369 (2017), 7469--7507.


• Johannes Ebert, Oscar Randal-Williams:
  Generalised Miller-Morita-Mumford classes of block and topological bundles
  Algebraic & Geometric Topology 14 (2014) 1181--1204
• Johannes Ebert, Oscar Randal-Williams:
  Torelli spaces of high-dimensional manifolds,
  J. of Topology 8 (2015), no. 1, 38--64.
• Johannes Ebert, Oscar Randal-Williams:
  Stable Cohomology of the Universal Picard Varieties and the Extended Mapping Class Group,
  Documenta Math. 17 (2012) 417--450


• Johannes Ebert:
  A vanishing theorem for characteristic classes of odd-dimensional manifold bundles, Journal für die reine und angewandte Mathematik 684 (2013), 1-29.
• Johannes Ebert:
  Algebraic independence of generalized MMM-classes,
  Algebraic & Geometric Topology 11, 69-105 (2011).


• Johannes Ebert, Jeffrey Giansiracusa:
  Pontrjagin-Thom maps and the homology of the moduli stack of stable curves,
  Mathematische Annalen 349, 543-575, 2011.
• Johannes Ebert, Jeffrey Giansiracusa:
  On the homotopy type of the Deligne-Mumford compactification,
  Algebraic & Geometric Topology 8 (2008) 2049-2062.
• Johannes Ebert:
  The homotopy type of a topological stack, 2008.
  


• Johannes Ebert:
  Divisibility of Morita-Miller-Mumford classes of spin surface bundles,
  Quarterly Journal of Mathematics 59, 207-212 (2008).
• Johannes Ebert, Oscar Randal-Williams:
  Divisibility of characteristic classes of nonoriented surface bundles,
  Topology and its Applications 156 (2008), 246-250.
• Johannes Ebert:
  The icosahedral group and the homotopy of the stable mapping class group,
  Münster Journal of Mathematics 3, 221-232, 2010.

Theses

• Johannes Ebert:
  Characteristic classes of spin surface bundles: Applications of the Madsen-Weiss theory,
  Bonner Mathematisches Schriften 381, (2006). My PhD supervisor was Carl-Friedrich Bödigheimer.
• Johannes Ebert:
  Hilbert-Uniformisierung Kleinscher Flächen
  Diplomarbeit in Mathematik (2003). My diploma supervisor was Carl-Friedrich Bödigheimer.