4 problems

Tillmann's equivalence conjecture. The two infinite loop space structures on $\mathbb{Z}\times B\Gamma_\infty^+$ are equivalent.

The objects are closed 1-dimensional manifolds equipped with chosen bounding 2-manifolds, the 1-morphisms are 2-dimensional cobordisms equipped with bounding 3-manifolds, and the 2…

Let $\theta=(B,p,xi)$ be a family of $Rd$-bundles, and let T^% denote the covariant part of the transformation tau^% associated to the extended $A$-theory characteristic. Here…

Let $\mathcal{N}$, $\mathcal{O}$, $\overline{\mathcal{N}}$, and $\mathcal{K}$ denote the cobordism categories considered in the paper, and let their orientable subcategories and re…