Dr. Georg Frenck

Wissenschaftlicher Mitarbeiter
Differentialgeometrie
Telefon: 0821-598-2228
E-Mail: georg.frenck@math.uni-augsburg.de
Raum: 3024 (L1)
Adresse: Universitätsstraße 14, 86159 Augsburg

Research Interests

  • Positive scalar curvature
  • Spaces of Riemannian metrics
  • Topology and Geometry of Manifolds

Publications

Preprints

„Spaces of Positive Scalar Curvature metrics on totally nonspin Manifolds with spin boundary“, 2022.

arXiv:  2204.11512

 

„Sphericity of κ-classes and positive curvature via block bundles“ (Appendix with Jens Reinhold), 2021.

arXiv:  2109.10306

 

Publications

„Spaces of positive intermediate curvature metrics“, (with Jan-Bernhard Kordaß), Geometriae Dedicata, 2021.

DOI:  10.1007/s10711-021-00635-w

arXiv:  2011.11388

 

„Bundles with Non-multiplicative A-hat-Genus and Spaces of Metrics with Lower Curvature Bounds“ (with Jens Reinhold), International Mathematics Research Notices, 2021.

DOI:  10.1093/imrn/rnaa361

arXiv:  2010.04588

 

„Cohomogeneity One Manifolds and Homogoneous Spaces of Positive Scalar Curvature“ (with Fernando Galaz-Garcia and Philipp Reiser), Bulletin of the London Mathematical Society, 2022.

DOI:  10.1112/blms.12557

arXiv:  2009.13142

 

„H-space structures on spaces of metrics of positive scalar curvature“, Transactions of the American mathematical Society, 2021.

DOI:  10.1090/tran/8505

arXiv:  2004.01033

 

„The action of the mapping class group on metrics of positive scalar curvature“, Mathematische Annalen, 2021.

DOI:  10.1007/s00208-021-02235-1

arXiv:   1912.08613

 

„The Gromov--Lawson—Chernysh surgery theorem“ (with Johannes Ebert), Boletín de la Sociedad Matemática Mexicana, 2020.

DOI:  10.1007/s40590-021-00310-w

arXiv:  1807.06311

Suche