@article{31264, abstract = {{AbstractGiven a closed orientable hyperbolic manifold of dimension $$\ne 3$$ 3 we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers. }}, author = {{Küster, Benjamin and Weich, Tobias}}, issn = {{0010-3616}}, journal = {{Communications in Mathematical Physics}}, keywords = {{Mathematical Physics, Statistical and Nonlinear Physics}}, number = {{2}}, pages = {{917--941}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Pollicott-Ruelle Resonant States and Betti Numbers}}}, doi = {{10.1007/s00220-020-03793-2}}, volume = {{378}}, year = {{2020}}, } @inbook{31356, author = {{Elit, Stefan}}, booktitle = {{Forcierte Form. Deutschsprachige Versepik des 20. und 21. Jahrhunderts im europäischen Kontext (Abhandlungen zur Literaturwissenschaft)}}, editor = {{Bremer, Kai and Elit, Stefan}}, pages = {{39--55}}, title = {{{Typen der deutschsprachigen Versepik 1745/1848}}}, year = {{2020}}, } @inproceedings{31372, author = {{Hoffmann, Max}}, booktitle = {{Beiträge zum Mathematikunterricht 2020}}, editor = {{Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan Franz}}, pages = {{1353--1356}}, publisher = {{WTM-Verlag}}, title = {{{Schnittstellenaktivitäten zum Kongruenzsatz WSW}}}, doi = {{10.17877/DE290R-21368}}, year = {{2020}}, } @misc{31386, author = {{Hoffmann, Max}}, booktitle = {{Mathematische Semesterberichte}}, pages = {{119–121}}, title = {{{Rezension: Andrew Granville und Jenniver Granville: Prime Supects: The Anatomy of Integers and Permutations}}}, doi = {{10.1007/s00591-019-00269-w}}, volume = {{67}}, year = {{2020}}, } @misc{31384, author = {{Hoffmann, Max}}, booktitle = {{Mathematische Semesterberichte}}, pages = {{115–116}}, title = {{{Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von Escher über Möbius zu Penrose}}}, doi = {{10.1007/s00591-019-00264-1}}, volume = {{67}}, year = {{2020}}, } @book{31381, editor = {{Hoffmann, Max}}, title = {{{Der Mathematikunterricht 66 (6): Geometrie in Schule und Lehramtsausbildung – ein Nachwuchsheft}}}, year = {{2020}}, } @misc{31416, author = {{Elit, Stefan}}, booktitle = {{Vormärz-Handbuch}}, editor = {{Eke, Norbert}}, pages = {{611--619}}, title = {{{Versepik}}}, year = {{2020}}, } @misc{31417, author = {{Elit, Stefan}}, booktitle = {{Frühe Neuzeit in Deutschland. 1620-1720. Literaturwissenschaftliches Verfasserlexikon (VL17), Bd. III}}, editor = {{Arend, Stefanie and Jahn, Bernhard and Robert, Jörg and Seidel, Robert and Steiger, Johann Anselm and Tilg, Stefan and Vollhardt, Friedrich}}, pages = {{Sp. 251--262}}, title = {{{Ferdinand von Fürstenberg}}}, volume = {{Bd. III}}, year = {{2020}}, } @book{31515, editor = {{Egidi, Margreth and Greulich, Markus and Winter, Marie-Sophie}}, publisher = {{(ZfdA Beiheft 34)}}, title = {{{Hartmann von Aue 1230–1517. Kulturgeschichtliche Perspektiven der handschriftlichen Überlieferung}}}, year = {{2020}}, } @book{31514, editor = {{Egidi, Margreth}}, title = {{{Figuren des Dritten im höfischen Roman, Beiträge zur mediävistischen Erzählforschung 2020, Themenheft 4}}}, doi = {{https://doi.org/10.25619/BmE_H202032}}, year = {{2020}}, }