Topics in Mathematics Münster

Research Interests

$\bullet$ Differential topology, algebraic $K$-and $L$-theory.
$\bullet$ Functor Calculus, Homotopy theory.

Selected Publications of Prof. Dr. Michael Weiss

$\bullet$ M. Weiss and B. Williams. Automorphisms of manifolds and algebraic $K$-theory: Part {III}. Mem. Amer. Math. Soc., 231(1084):vi+110, 2014.

$\bullet$ A. Ranicki and M. Weiss. On the construction and topological invariance of the Pontryagin classes. Geom. Dedicata, 148(1):309–343, 2010.

$\bullet$ S. Galatius, U. Tillmann, I. Madsen, and M. Weiss. The homotopy type of the cobordism category. Acta Math., 202(2):195–239, 2009.

$\bullet$ I. Madsen and M. Weiss. The stable moduli space of Riemann surfaces: Mumford's conjecture. Ann. of Math. (2), 165(3):843–941, 2007.

$\bullet$ W. Dwyer, M. Weiss, and B. Williams. A parametrized index theorem for the algebraic $K$-theory Euler class. Acta Math., 190(1):1–104, 2003.

$\bullet$ T. G. Goodwillie and M. Weiss. Embeddings from the point of view of immersion theory. {II}. Geom. Topol., 3:103–118 (electronic), 1999.

$\bullet$ M. Weiss. Embeddings from the point of view of immersion theory. I. Geom. Topol., 3:67–101 (electronic), 1999.

$\bullet$ M. Weiss. Orthogonal calculus. Trans. Amer. Math. Soc., 347(10):3743–3796, 1995. See also Erratum, {\it Trans.\ Amer.\ Math.\ Soc.}, 350(2):851-855, 1998.

$\bullet$ M. Weiss and B. Williams. Automorphisms of manifolds and algebraic $K$-theory: {II}. J. Pure Appl. Algebra, 62(1):47–107, 1989.

$\bullet$ M. Weiss and B. Williams. Automorphisms of manifolds and algebraic $K$-theory: I. $K$-Theory, 1(6):575–626, 1988.

Current Cluster Publications of Prof. Dr. Michael Weiss

$\bullet $ Pedro Boavida de Brito and Michael S. Weiss. The torus trick for configuration categories. arXiv e-prints, January 2024. arXiv:2401.00799.

$\bullet $ Pedro Boavida de Brito and Michael S. Weiss. The configuration category of a covering space. arXiv e-prints, December 2023. arXiv:2312.17631.

$\bullet $ Pedro Boavida de Brito and Michael S. Weiss. Presentations of configuration categories. arXiv e-prints, December 2023. arXiv:2312.17632.

$\bullet $ Michael Weiss. Rational Pontryagin classes of Euclidean fiber bundles. J. Geom. Topol, 25(7):3351––3424, January 2022. doi:10.2140/gt.2021.25.3351.

$\bullet $ Michael S. Weiss. Immersion theory for homotopy theorists. Grad. J. Math., 5(1):9–27, April 2020.

$\bullet $ Michael S. Weiss. Configuration categories and homotopy automorphisms. Glasg. Math. J., 62(1):13–41, January 2020. doi:10.1017/s0017089518000502.

$\bullet $ Michael S. Weiss. Truncated operads and simplicial spaces. Tunis. J. Math., 1(1):109–126, March 2019. doi:10.2140/tunis.2019.1.109.