Prof. Dr. Wolfgang Steimle

Vorsitzender des Prüfungsausschusses Mathematik - Erasmusbeauftragter am Institut der Mathematik
Differentialgeometrie
Telefon: +49 821 598 - 2208
E-Mail: wolfgang.steimle@math.uni-augsburg.de
Raum: 3020 (L1)
Sprechzeiten: nach Vereinbarung
Adresse: Universitätsstraße 14, 86159 Augsburg

Research Interests

  • Classification and automorphisms of manifolds
  • Algebraic K- and L-theory
  • Positive scalar curvature

Publications

  1. (with Diarmuid Crowley and Thomas Schick) The derivative map for diffeomorphism of disks: An example, 2020. To appear in Geom. Topol.
  2. An additivity theorem for cobordism categories, Algebr. Geom. Topol. 21 (2021), pp. 604-646.
  3. (with G. Raptis) On the h-cobordism category. I, Int. Math. Res. Not. 23 (2021), pp. 18118-18148.
  4. (with G. Raptis) Topological manifold bundles and the A-theory assembly map, Proc. Am. Math. Soc. 148 (2020), pp. 2787-2799.
  5. (with D. Crowley and Th. Schick) Harmonic spinors and metrics of positive scalar curvature via the Gromoll filtration and Toda brackets, J. Topol. 11,4 (2018), pp. 1077-1099.
  6. (with G. Raptis) A cobordism model for Waldhausen K-theory, J. Lond. Math. Soc. 99,2 (2018), pp. 516-534.
  7. Degeneracies in quasi-categories, J. Homotopy Relat. Struct. 13,4 (2018), pp. 703-714.
  8. (with F.T. Farrell and W. Lück) Approximately fibering a manifold over an aspherical one, Math. Ann. 370,1-2 (2018), pp. 669–726.
  9. (with G. Raptis) Parametrized cobordism categories and the Dwyer-Weiss-Williams index theorem, J. Topol. 10,3 (2017), pp. 700-719.
  10. (with W. Lück) Splitting the relative assembly map, Nil-terms and involutions, Ann. K-theory 1,4 (2016), pp. 339–377.
  11. (with W. Lück) A twisted Bass-Heller-Swan decomposition for the non-connective K-theory of additive categories, Forum Math. 28,1 (2016), pp. 129-174.
  12. (with B. Hanke and Th. Schick) The space of metrics of positive scalar curvature, Pub. Math. IHÉS 120,1 (2014), pp. 335–367.
  13. (with W. Lück) Non-connective K- and Nil-spectra of additive categories, Contemp. Math. 617 (2014), pp. 205-236.
  14. (with G. Raptis) On the map of Bökstedt-Madsen from the cobordism category to A-theory, Alg. Geom. Topol. 14,1 (2014), pp. 299-347.
  15. Obstructions to stably fibering manifolds, Geom. Topol. 16,3 (2012), pp. 1691-1724.
  16. Higher Whitehead torsion and the geometric assembly map, J. Topol. 5,3 (2012), pp. 529-574.
  17. (with F.T. Farrell and W. Lück) Obstructions to fibering a manifold, Geom. Dedic. 148,1 (2010), pp. 35-69.

Preprints, theses, and other manuscripts

Teaching and Research Seminars

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