Michael Wiemeler

Publications

My orcid record can be found here.

A list of my preprints on arxiv.org is here.

Published Articles

  1. Witten genera of complete intersections, Bull. Lond. Math. Soc. 58 (2026), no. 2, Paper No. e70295, DOI:10.1112/blms.70295, arXiv:2410.21412
  2. (with Lee Kennard and Burkhard Wilking) Positive curvature, torus symmetry, and matroids, J. Eur. Math. Soc. (JEMS) (2025), DOI:10.4171/JEMS/1656, arXiv:2212.08152
  3. (with Anusha M. Krishnan) Positively curved 1010-manifolds with T3T^3-symmetry, Commun. Contemp. Math. 27 (2025), no. 10, Paper No. 2550018, DOI:10.1142/S021919972550018X, arXiv:2310.12689
  4. Rigidity of elliptic genera for nonspin manifolds, Algebr. Geom. Topol. 25 (2025), no. 4, 2083-2097, DOI:10.2140/agt.2025.25.2083, arXiv:2212.01059
  5. On circle actions with exactly three fixed points, J. Fixed Point Theory Appl. 27 (2025), no. 3, Paper No. 79, DOI:10.1007/s11784-025-01230-2, arXiv:2303.15396
  6. (with Johannes Ebert) On the homotopy type of the space of metrics of positive scalar curvature, J. Eur. Math. Soc. (JEMS) 26 (2024), no. 9, 3327-3363, DOI:10.4171/JEMS/1333, arXiv:2012.00432
  7. On a conjecture of Stolz in the toric case, Proc. Amer. Math. Soc. 152 (2024), no. 8, 3617-3621, DOI:10.1090/proc/16823, arXiv:2310.08456
  8. (with Wilderich Tuschmann) On the topology of moduli spaces of non-negatively curved Riemannian metrics, Math. Ann. 384 (2022) No. 3-4, 1629-1651, DOI:10.1007/s00208-021-02327-y, arXiv:1712.07052
  9. (with Oliver Goertsches) Non-negatively curved GKM orbifolds, Math. Z. 300 (2022) No. 2, 2007-2036, DOI:10.1007/s00209-021-02853-0, arXiv:1802.05871
  10. Smooth classification of locally standard TkT^k-manifolds, Osaka J. Math. 59 (2022) No. 3, 549-557, https://projecteuclid.org, arXiv:2011.10460
  11. On moduli spaces of positive scalar curvature metrics on highly connected manifolds, Int. Math. Res. Not. IMRN 2021 (2021) No. 11, 8698-8714, DOI:10.1093/imrn/rnz386, arXiv:1610.09658
  12. Classification of rationally elliptic toric orbifolds, Arch. Math. 114 (2020), 641-647, DOI:10.1007/s00013-019-01430-6, arXiv:1906.01335
  13. S1S^1-equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera, J. Topol. Anal. 12 (2020) No. 4, 1103-1156, DOI:10.1142/S1793525319500766, arXiv:1506.04073
  14. (with Wilderich Tuschmann) Smooth stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature, Comm. Anal. Geom. 27 (2019) No.2 , 491-509, https://www.intlpress.com/, arXiv:1408.3006
  15. (with Bernhard Hanke) An equivariant Quillen theorem, Adv. Math. 340 (2018), 48-75, DOI:10.1016/j.aim.2018.10.009, arXiv:1711.02399
  16. (with Fernando Galaz-Garcia, Martin Kerin and Marco Radeschi) Torus orbifolds, slice-maximal torus actions and rational ellipticity, Int. Math. Res. Not. IMRN 2018 (2018) No. 18, 5786-5822, DOI:10.1093/imrn/rnx064, arXiv:1404.3903
  17. Moduli spaces of invariant metrics of positive scalar curvature on quasitoric manifolds, Proc. Amer. Math. Soc. 146 (2018), 4521-4534, DOI:10.1090/proc/14123, arXiv:1610.09517
  18. (with Anand Dessai) Complete Intersections with S1S^1-action, Transformation Groups 22 (2017), No. 2, 295-320, DOI:10.1007/s00031-017-9418-9, arXiv:1108.5327
  19. A note on torus actions and the Witten genus, Pacific J. Math. 286 (2017), No. 2, 499-510, DOI:10.2140/pjm.2017.286.499, arXiv:1507.00597
  20. Equivariantly homeomorphic quasitoric manifolds are diffeomorphic, Bol. Soc. Mat. Mex. 23 (2017), No. 1, 501-509, DOI:10.1007/s40590-016-0091-0, arXiv:1506.07999
  21. Circle actions and scalar curvature, Trans. Amer. Math. Soc. 368 (2016), No. 4, 2939-2966, DOI:10.1090/tran/6666, arXiv:1305.2288
  22. Torus manifolds and non-negative curvature, J. Lond. Math. Soc., II. Ser. 91 (2015), No. 3, 667-692, DOI:10.1112/jlms/jdv008, arXiv:1401.0403
  23. (with Oliver Goertsches) Positively curved GKM-manifolds, Int. Math. Res. Not. IMRN, 2015 (2015), No. 22, 12015-12041, DOI:10.1093/imrn/rnv046, arXiv:1402.2397
  24. Non-abelian symmetries of quasitoric manifolds, Münster J. of Math. 7 (2014), 753-769, veröffentlichte Version DOI:10.17879/58269753215, arXiv:1202.3581
  25. Dirac operators and symmetries of quasitoric manifolds, Algebr. Geom. Topol., 13 (2013), 277-312, DOI:10.2140/agt.2013.13.277, arXiv:1108.1056
  26. Exotic torus manifolds and equivariant smooth structures on quasitoric manifolds, Math. Z., 273 (2013), No. 3, 1063-1084, DOI:10.1007/s00209-012-1044-6, arXiv:1110.1168
  27. Quasitoric manifolds homeomorphic to homogeneous spaces, Osaka J. Math., 50 (2013), No. 1, 153-160, http://projecteuclid.org/euclid.ojm/1364390423, arXiv:1101.0999
  28. Torus manifolds with non-abelian symmetries Trans. Amer. Math. Soc., 364 (2012), No. 3, 1427-1487, DOI:10.1090/S0002-9947-2011-05463-2 , arXiv:0911.4936
  29. Remarks on the classification of quasitoric manifolds up to equivariant homeomorphism, Arch. Math., 98 (2012), No. 1, 71-85, DOI:10.1007/s00013-011-0335-1, arXiv:1101.0998

Preprints

  1. (with Lee Kennard and Burkhard Wilking) Splitting of torus representations and applications in the Grove symmetry program, arXiv:2106.14723, 2021
  2. Every quasitoric manifold admits an invariant metric of positive scalar curvature, Preprint, arXiv:1202.0146, 2012

Conference Proceedings

  1. (with Lee Kennard and Burkhard Wilking) Positive curvature, Torus symmetry, and Matroids, Oberwolfach Report 28/2022, DOI:10.4171/OWR/2022/28
  2. (with Lee Kennard and Burkhard Wilking) Torus actions on positively curved manifolds, Oberwolfach Report 32/2021, DOI:10.4171/OWR/2021/32
  3. (with Johannes Ebert) On the homotopy type of the space of positive scalar curvature metrics, Oberwolfach Report 30/2021, DOI:10.4171/OWR/2021/30
  4. (with Lee Kennard and Burkhard Wilking) Positive curvature and torus symmetry, Oberwolfach Report 27/2018, DOI:10.4171/OWR/2018/27
  5. (with Wilderich Tuschmann) Sphere Theorems, Space Forms, and positive scalar curvature, Oberwolfach Report 36/2017, DOI:10.4171/OWR/2017/36
  6. Circle actions and positive scalar curvature, Oberwolfach Report 36/2014, DOI:10.4171/OWR/2014/36

Theses

  1. Torus actions and positive and non-negative curvature, Habilitationsschrift, Universität Augsburg, OPUS, 2016/2017
  2. On the classification of torus manifolds with and without non-abelian symmetries, Dissertation, Université de Fribourg, 2010, PDF
  3. Toruswirkungen auf Homotopie komplex projektiven Räumen, Diplomarbeit, WWU Münster, 2006, PDF