activity
20032026
most citedComputation of the homotopy of the spectrum tmf

39 citations · 57 across the 14 of their papers we have counts for

collaborators

15 papers

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.AT2026

Infinite families of very exotic spheres with free - and -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.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, . This is constructed…

math.AT2022

Graded -polar rings and the homology of

Tilman Bauer

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

math.AT2022

On the structure of abelian Hopf algebras

Tilman Bauer

We study the structure of the category of graded, connected, countable-dimensional, commutative and cocommutative Hopf algebras over a perfect field of characteristic . Ever…

math.AT2021

Graded -polar rings and their abelian-group valued functors

Tilman Bauer

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