M. Wiemeler

activity

20092026

most citedExotic torus manifolds and equivariant smooth structures on quasitoric manifolds

32 citations · 167 across the 31 of their papers we have counts for

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17 papers · 1 filter

math.GT2026

Riemannian foliations on CROSSes

Marco Radeschi, Lorenzo Scoffone, Michael Wiemeler

We classify Riemannian foliations of closed manifolds homotopy equivalent to CROSSes.

math.GT2023

On circle actions with exactly three fixed points

Michael Wiemeler

We study smooth, closed orientable $S^{1}$ -manifolds $M$ with exactly $3$ fixed points. We show that the dimension of $M$ is of the form $4 \cdot 2^{a}$ or $8 \cdot (2^{a} + 2^{b})$ with $a,b\g…

math.GT2022★ 1 cited

Rigidity of elliptic genera for non-spin manifolds

Michael Wiemeler

We discuss the rigidity of elliptic genera for non-spin manifolds $M$ with $S^{1}$ -action. We show that if the universal covering of $M$ is spin, then the universal elliptic genus of…

math.GT2020

Smooth classification of locally standard $T^{k}$ -manifolds

Michael Wiemeler

We study locally standard $T^{k}$ -manifolds $M$ . In particular, we study the case where there is a continuous section to the orbit map $π : M \to M / T$ . We give a classificatio…

math.GT2016★ 3 cited

On moduli spaces of positive scalar curvature metrics on highly connected manifolds

Michael Wiemeler

Let $M$ be a simply connected spin manifold of dimension at least six which admits a metric of positive scalar curvature. We show that the observer moduli space of positive scalar…

math.GT2015★ 4 cited

A note on torus actions and the Witten genus

Michael Wiemeler

We show that the Witten genus of a string manifold $M$ vanishes, if there is an effective action of a torus $T$ on $M$ such that $dim T > b_{2} (M)$ . We apply this result to study grou…

math.GT2015★ 1 cited

Equivariantly homeomorphic quasitoric manifolds are diffeomorphic

Michael Wiemeler

In this note we prove that equivariantly homeomorphic quasitoric manifolds are diffeomorphic. As a consequence we show that up to finite ambiguity the diffeomorphism type of certai…

math.GT2015★ 2 cited

$S^{1}$ -equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera

Michael Wiemeler

We construct geometric generators of the effective $S^{1}$ -equivariant Spin- (and oriented) bordism groups with two inverted. We apply this construction to the question of which $S^1…

math.GT2013★ 11 cited

Circle actions and scalar curvature

Michael Wiemeler

We construct metrics of positive scalar curvature on manifolds with circle actions. One of our main results is that there exist $S^{1}$ -invariant metrics of positive scalar curvature…

math.GT2012★ 2 cited

Every quasitoric manifold admits an invariant metric of positive scalar curvature

Michael Wiemeler

We prove that every quasitoric manifold admits an invariant metric of positive scalar curvature.

math.GT2012

Non-abelian symmetries of quasitoric manifolds

Michael Wiemeler

A quasitoric manifold $M$ is a $2 n$ -dimensional manifold which admits an action of an $n$ -dimensional torus which has some nice properties. We determine the isomorphism type of a m…

math.GT2011★ 32 cited

Exotic torus manifolds and equivariant smooth structures on quasitoric manifolds

Michael Wiemeler

In 2006 Masuda and Suh asked if two compact non-singular toric varieties having isomorphic cohomology rings are homeomorphic. In the first part of this paper we discuss this questi…

math.GT2011★ 5 cited

Complete Intersections with S^1-action

Anand Dessai, Michael Wiemeler

We give the diffeomorphism classification of complete intersections with S^1-symmetry in dimension less than or equal to 6. In particular, we show that a 6-dimensional complete int…

math.GT2011★ 3 cited

Dirac-operators and symmetries of quasitoric manifolds

Michael Wiemeler

We establish a vanishing result for indices of certain twisted Dirac operators on $Spin^{c}$ -manifolds with non-abelian Lie-group actions. We apply this result to study non-ab…

math.GT2011★ 6 cited

Remarks on the classification of quasitoric manifolds up to equivariant homeomorphism

Michael Wiemeler

We give three sufficient criteria for two quasitoric manifolds (M,M') to be (weakly) equivariantly homeomorphic. We apply these criteria to count the weakly equivariant homeomorphi…

math.GT2011★ 1 cited

Quasitoric manifolds homeomorphic to homogeneous spaces

Michael Wiemeler

We present some classification results for quasitoric manifolds (M) with (p_1(M)=-\sum a_i^2) for some (a_i\in H^2(M)) which admit an action of a compact connected Lie-group (G) su…

math.GT2009★ 11 cited

Torus manifolds with non-abelian symmetries

Michael Wiemeler

Let (G) be a connected compact non-abelian Lie-group and (T) a maximal torus of (G). A torus manifold with (G)-action is defined to be a smooth connected closed oriented manifold o…

Riemannian foliations on CROSSes

On circle actions with exactly three fixed points

Rigidity of elliptic genera for non-spin manifolds

Smooth classification of locally standard Tk-manifolds

On moduli spaces of positive scalar curvature metrics on highly connected manifolds

A note on torus actions and the Witten genus

Equivariantly homeomorphic quasitoric manifolds are diffeomorphic

S1-equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera

Circle actions and scalar curvature

Every quasitoric manifold admits an invariant metric of positive scalar curvature

Non-abelian symmetries of quasitoric manifolds

Exotic torus manifolds and equivariant smooth structures on quasitoric manifolds

Complete Intersections with S^1-action

Dirac-operators and symmetries of quasitoric manifolds

Remarks on the classification of quasitoric manifolds up to equivariant homeomorphism

Quasitoric manifolds homeomorphic to homogeneous spaces

Torus manifolds with non-abelian symmetries

Smooth classification of locally standard $T^{k}$ -manifolds

$S^{1}$ -equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera