Thema A: Klassifikation von geometrisch besonders relevanten Räumen: vollständige Durchschnitte und 7-dimensionale homogene Räumen (Witten- und Alof-Wallach-Räumen), sowie Analyse von 1-Monoiden Thema B: Das Verhältnis zwischen symmetrischen und asymmetrischen Mannigfaltigkeiten

• Applicant: Professor Dr. Matthias Kreck
• Subject Area: Mathematics
• Term: from 2005 to 2011
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 13532229

• Final Report Year: 2011

Final Report Abstract

No abstract available

Publications

• Conjugation on 6-Manifolds. Dissertation (Heidelberg 2007)
  Olbermann, Martin
  
• Singular Hypersurfaces as Stratifolds. Dissertation (Heidelberg 2007)
  Su, Yang
  
• Conjugations on 6-manifolds. Math. Ann. 342 (2008), no. 2, 255-271
  Olbermann, Martin
  
• Involutions on 3-manifolds and self-dual, binary codes. Homology, Homotopy Appl. 10 (2008), no. 2, 139-148
  Kreck, Matthias; Puppe, Volker
  
• On the topological classification of certain singular hypersurfaces in 4-dimensional projection space. J. Topol. 1 (2008), no. 2, 446-460
  Su, Yang
  
• Positivity of topological field theories in dimension at least 5. J. TopoL 1 (2008), no. 3, 663-670
  Kreck, Matthias; Teichner, Peter
  
• A diffeomorphism classification of 5- and 7-dimensional non-simplyconnected homogeneous spaces. Dissertation (Bonn 2009)
  Ottenburger, Sadeeb
  
• Orientation reversal of manifolds. Algebr. Geom. Topol. 9 (2009), no. 4, 2361-2390
  Müllner, Daniel
  
• Orientation reversal of manifolds. Dissertation (Bonn 2009)
  Müllner, Daniel
  
• Simply connected asymmetric manifolds. Journal of Topology, Vol. 2 .2009, no. 2, pp. 249-261.
  Kreck, Matthias
  (See online at https://dx.doi.org/10.1112/jtopol/jtp008)
• Topological 4-manifolds with geometrically two-dimensional fundamental groups. J. Topol. Anal: 1 (2009), no. 2, 123-151
  Hambleton, Ian; Kreck, Matthias; Teichner, Peter
  
• Topological rigidity for non-aspherical manifolds. Pure Appl. Math. Q. 5 (2009), no. 3, Special Issue: In honor of Friedrich Hirzebruch. Part 2, 873-914
  Kreck, M.; Lück, W.
  
• A geometric description of differential cohomology. Ann. Math. Blaise Pascal 17 (2010), no. 1, 1-16
  Bunke, Ulrich; Kreck, Matthias; Schick, Thomas
  
• Differential algebraic topology. From stratifolds to exotic spheres. Graduate Studies in Mathematics, 110. American Mathematical Society, Providence, RI, 2010. XII+218 pp
  Kreck, Matthias
  
• Involutions on S6 with 3-dimensional fixed point set. Algebr. Geom. Topol. 10 (2010), no. 4, 1905-1932
  Olbermann, Martin
  
• Differential forms and 0-dimensional supersymmetric field theories. (English) Quantum Topol. 2, No. 1, 1-41 (2011)
  Hohnhold, Henning; Kreck, Matthias; Stolz, Stephan; Teichner, Peter
  
• Stably diffeomorphic manifolds and l2q+1(Z[π]). Forum Mathematicum
  Crowley, Diarmuid; Sixt, Jörg
  (See online at https://doi.org/10.1515/FORM.2011.016)