Tilman Bauer

collaborators

4 papers

math.AT2026

Infinite families of very exotic spheres with free $S^{1}$ - and $S^{3}$ -actions

Tilman Bauer, J. D. Quigley

There are two kinds of exotic spheres: bp spheres, which bound parallelizable manifolds, and non-bp spheres, or very exotic spheres, which do not. In the 1960s, W.-C. Hsiang showed…

math.AT2026

The U(1)-topological elliptic genus is surjective

Tilman Bauer, Mayuko Yamashita

We show that the topological elliptic genus from the cobordism ring of SU-manifolds to topological Jacobi forms lifts to connective topological Jacobi forms, and that this lift is…

math.AT2025

Topological Jacobi Forms

Tilman Bauer, Lennart Meier

As a generalization of the ring spectrum of topological modular forms, we construct a graded ring spectrum of topological Jacobi forms, $TJF_{*}$ . This is constructed…

math.AT2025

Graded $p$ -polar rings and the homology of $I^c ◯^{n} I^£^{n} X$

Tilman Bauer

As an extension of previous ungraded work, we define a graded $p$ -polar ring to be an analog of a graded commutative ring where multiplication is only allowed on $p$ -tuples (instea…

Infinite families of very exotic spheres with free S1- and S3-actions

The U(1)-topological elliptic genus is surjective

Topological Jacobi Forms

Graded p-polar rings and the homology of I^c◯nI^£nX

Infinite families of very exotic spheres with free $S^{1}$ - and $S^{3}$ -actions

Graded $p$ -polar rings and the homology of $I^c ◯^{n} I^£^{n} X$