Differentialgeometrie

  1. Universität
  2. Fakultäten
  3. Mathematisch-Naturwissenschaftlich-Technische Fakultät
  4. Institut für Mathematik
  5. Lehrstühle
  6. Differentialgeometrie
  7. Team
  8. Publications of Bernhard Hanke

Publications of Bernhard Hanke

Publications

  1. Abstract cone operators and Lipschitz rigidity for scalar curvature on singular manifolds (with S. Cecchini, T. Schick and L. Schönlinner),  arXiv
  2. Contractibility of spaces of positive scalar curvature metrics with symmetry (with Ch. Bär),  arXiv
  3. Rigidity results for initial data sets satisfying the dominant energy condition (with Ch. Bär, S. Brendle and A. Chow),  arXiv
  4. Torsion obstructions to positive scalar curvature (with M. Gromov),  SIGMA 20 (2024), 069 
  5. K-cowaist of manifolds with boundary (with Ch. Bär), C. R. Math. Acad. Sci. Paris (to appear),  arXiv
  6. Scalar curvature rigidity of warped product metrics (with Ch. Bär, S. Brendle and Y. Wang), SIGMA 20 (2024), 035
  7. Lipschitz rigidity for scalar curvature (with S. Cecchini and T. Schick), J. Eur. Math. Soc. (2024), published online first,  arXiv
  8. Boundary conditions for scalar curvature (with Ch. Bär),   M. Gromov, B. Lawson (eds), Perspectives in Scalar Curvature, vol. II, World Scientific, pp. 325-377 (2023)   Video abstract  arXiv
  9. Bott-Thom isomorphism, Hopf bundles and Morse theory (with J.-H. Eschenburg), São Paulo J. Math. Sci. 15 (2021), pp. 127-174 arXiv
  10. Scalar positive immersions (with L. Florit),  Commun. Contemp. Math. 24 (8), 2150093 (2022)  arXiv
  11. Positive scalar curvature on manifolds with odd order abelian fundamental groups, J. Eur. Math. Soc. (2024), published online first  arXiv
  12. Local flexibiliy for open partial differential relations (with Ch. Bär), Comm. Pure Appl. Math. 75 (6) (2022), pp. 1377-1415 Video abstract arXiv
  13. An equivariant Quillen theorem (with M. Wiemeler), Adv. Math. 340 (2018), pp. 48-75 arXiv
  14. Bott periodicity, submanifolds, and vector bundles, (with J.-H. Eschenburg), Hermitian-Grassmannian Submanifolds (2017) (Springer Proceedings in Mathematics & Statistics), pp. 295-309 arXiv
  15. Γ-structures and symmetric spaces (with P. Quast), Algebr. Geom. Topol. 18 (2) (2018), pp. 877-895 arXiv
  16. Bordism of elementary abelian groups via inessential Brown-Peterson homology, J. Topol. 9 (3) (2016), pp. 725-746 arXiv
  17. Codimension two index obstructions to positive scalar curvature (with D. Pape und T. Schick), Annales de l'Institut Fourier 65 (6) (2015), pp. 2681-2710 arXiv
  18. The space of metrics of positive scalar curvature (with T. Schick und W. Steimle), Publ. Math. IHES 120 (1) (2014), pp. 335-367 arXiv
  19. Positive scalar curvature, K-area and essentialness, Global Differential Geometry (Springer Proceedings in Mathematics) (2011), pp. 275-302 arXiv
  20. Homotopy groups of the moduli space of metrics of positive scalar curvature (with B. Botvinnik, T. Schick und M. Walsh) Geom. Topol. 14 (2010), pp. 2047-2076 arXiv
  21. Large and small group homology (with M. Brunnbauer), J. Topol. 3 (2010), pp. 463–486 arXiv
  22. The stable free rank of symmetry of products of spheres, Invent. Math. 178 (2) (2009), pp. 265-298 arXiv
  23. Combinatorial Stokes formulas via minimal resolutions (with R. Sanyal, C. Schultz und G. Ziegler), J. Combin. Theory Ser. A. 116 (2) (2009), pp. 404-420 arXiv
  24. Coarse topology, enlargeability, and essentialness (with D. Kotschick, J. Roe und Th. Schick), Ann. Sci. Éc. Norm. Supér. (4) 41 (2008), pp. 471-493 arXiv
  25. The strong Novikov conjecture for low degree cohomology (with Th. Schick), Geom. Dedicata 135 (2008), pp. 119-127 arXiv
  26. Positive scalar curvature with symmetry, J. Reine Angew. Math. 614 (2008), pp. 73-115 arXiv
  27. Enlargeability and index theory: Infinite covers (with Th. Schick), K-Theory 38 (1) (2007), pp. 23-33 arXiv
  28. Enlargeability and index theory (with Th. Schick), J. Differential Geom. 74 (2) (2006), pp. 293-320 arXiv
  29. Equivariant Gysin maps and pulling back fixed points (with V. Puppe), Trans. Amer. Math. Soc. 358 (2006), pp. 687-702 arXiv
  30. Geometric versus homotopy theoretic equivariant bordism, Math. Ann. 332 (2005), pp. 677-696 arXiv
  31. Realization of equivariant chain complexes, Topology 43 (2004), pp. 717-723
  32. Dissolving four manifolds and positive scalar curvature (with D. Kotschick and J. Wehrheim), Math. Z. 245 (3) (2003), pp. 545-555 arXiv
  33. Inner products and Z/p-actions on Poincaré duality spaces, Forum Math. 15 (3) (2003), pp. 439-454
  34. Poincaré duality in P. A. Smith theory (with Ch. Allday and V. Puppe), Proc. Amer. Math. Soc. 131 (10) (2003), pp. 3275-3283 arXiv
  35. Cycles, submanifolds, and structures on normal bundles (with Ch. Bohr und D. Kotschick), Manuscripta Math. 108 (2002), pp. 483-494 arXiv
  36. Poincaré duality and deformations of algebras, Contemp. Math. 279 (2001), pp. 129-133
  37. Actions of finite p-groups on homology manifolds, Proc. Camb. Phil. Soc. 131 (3) (2001), pp. 473-486

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