Research Interests

Research Interests

$\bullet$ Scalar curvature
$\bullet$ Spin geometry and Dirac operators
$\bullet$ Index theory, K-theory and non-commutative geometry

Selected Publications

Zeidler R Band width estimates via the Dirac operator. J. Differential Geom. Vol. to appear, 2022 online
Nitsche M, Schick T, Zeidler R Transfer maps in generalized group homology via submanifolds. Doc. Math. Vol. 26, 2021, pp 947-979 online
Xie Z, Yu G, Zeidler R On the range of the relative higher index and the higher rho-invariant for positive scalar curvature. Adv. Math. Vol. 390 (107897), 2021 online
Engel A, Wulff C, Zeidler R Slant products on the Higson-Roe exact sequence. Ann. Inst. Fourier Vol. 71 (3), 2021, pp 913-1021 online
Zeidler R Positive scalar curvature and product formulas for secondary index invariants. J. Topol. Vol. 9 (3), 2016, pp 687-724 online
Zeidler R An index obstruction to positive scalar curvature on fiber bundles over aspherical manifolds. Algebr. Geom. Topol. Vol. 17 (5), 2017, pp 3081-3094 online
Bárcenas N, Zeidler R Positive scalar curvature and low-degree group homology. Ann. K-Theory Vol. 3 (3), 2018, pp 565-579 online
Cecchini S, Zeidler R Scalar and mean curvature comparison via the Dirac operator. Geom. Topol. Vol. to appear, 2023 online
Zeidler R Width, Largeness and Index Theory. SIGMA Vol. 16, 2020, pp 15 pages online
Cecchini S, Zeidler R The positive mass theorem and distance estimates in the spin setting. Preprint Vol. Preprint, 2021 online

Current Publications

Current Publications

$\bullet$ Simone Cecchini, Daniel Räde, and Rudolf Zeidler. Nonnegative scalar curvature on manifolds with at least two ends. arXiv e-prints, May 2022. arXiv:2205.12174.

$\bullet$ Cecchini and Rudolf Zeidler. Scalar and mean curvature comparison via the Dirac operator. Geom. Topol., January 2022.

$\bullet$ Rudolf Zeidler. Band width estimates via the Dirac operator. J. Diff. Geom., January 2022.

$\bullet$ Zhizhang Xie, Guoliang Yu, and Rudolf Zeidler. On the range of the relative higher index and the higher rho-invariant for positive scalar curvature. Adv. Math., 390:Paper No. 107897, 24, October 2021. doi:10.1016/j.aim.2021.107897.

$\bullet$ Martin Nitsche, Thomas Schick, and Rudolf Zeidler. Transfer maps in generalized group homology via submanifolds. Doc. Math., 26:947–979, August 2021. doi:10.15388/namc.2021.26.24502.

$\bullet$ Simone Cecchini and Rudolf Zeidler. The positive mass theorem and distance estimates in the spin setting. arXiv e-prints, August 2021. arXiv:2108.11972.

$\bullet$ Alexander Engel, Christopher Wulff, and Rudolf Zeidler. Slant products on the Higson–Roe exact sequence. Ann. Inst. Fourier, 71(3):913–1021, June 2021. doi:10.5802/aif.3406.

$\bullet$ Simone Cecchini and Rudolf Zeidler. Scalar and mean curvature comparison via the Dirac operator. arXiv e-prints, March 2021. arXiv:2103.06833.

$\bullet$ Rudolf Zeidler. Width, largeness and index theory. SIGMA Symmetry Integrability Geom. Methods Appl., 16:Paper No. 127, 15, December 2020. doi:10.3842/SIGMA.2020.127.

$\bullet$ Alexander Engel, Christopher Wulff, and Rudolf Zeidler. Slant products on the Higson–Roe exact sequence. arXiv e-prints, September 2019. arXiv:1909.03777.

$\bullet$ Rudolf Zeidler. Band width estimates via the Dirac operator. arXiv e-prints, May 2019. arXiv:1905.08520.