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papers

Publications (5)

math.SG2015

One-connectivity and finiteness of Hamiltonian $S^{1}$ -manifolds with minimal fixed sets

Hui Li, Martin Olbermann, Donald Stanley

Let the circle act effectively in a Hamiltonian fashion on a compact symplectic manifold $(M, I ¨ )$ . Assume that the fixed point set $M^{S^{1}}$ has exactly two components, $X$ and $Y…

math.GT2010

Involutions on S^6 with 3-dimensional fixed point set

Martin Olbermann

In this article, we classify all involutions on S^6 with 3-dimensional fixed point set. In particular, we discuss the relation between the classification of involutions with fixed…

math.AT2017

Cannibalistic Classes of String Bundles

Gerd Laures, Martin Olbermann

We introduce cannibalistic classes for string bundles with values in $T M F$ with level structures. This allows us to compute the Morava $E$ -homology of any map from the bordism spec…

math.GT2010

Conjugations on 6-manifolds with free integral cohomology

Martin Olbermann

In this article, we show the existence of conjugations on many simply-connected spin 6-manifolds with free integral cohomology. In a certain class the only condition on X^6 to admi…

math.AT2015

$T M F_{0} (3)$ Characteristic classes for String bundles