52 citations · 210 across the 33 of their papers we have counts for
37 papers
Signature Cocycles on the Mapping Class Group and Symplectic Groups
Dave Benson, Caterina Campagnolo, Andrew Ranicki +1
Werner Meyer constructed a cocycle in which computes the signature of a closed oriented surface bundle over a surface, with fibre a surface of…
Cohomology of symplectic groups and Meyer's signature theorem
Dave Benson, Caterina Campagnolo, Andrew Ranicki +1
Meyer showed that the signature of a closed oriented surface bundle over a surface is a multiple of , and can be computed using an element of $H^2(\mathsf{Sp}(2g, \mathbb{Z}),\m…
Solid angles and Seifert hypersurfaces
Maciej Borodzik, Supredee Dangskul, Andrew Ranicki
Given a smooth closed oriented manifold of dimension embedded in we study properties of the `solid angle' function $Φ\colon\mathbb{R}^{n+2}\setminus M\to…
The geometric Hopf invariant and surgery theory
Michael Crabb, Andrew Ranicki
The first author's geometric Hopf invariant of a stable map is a stable -equivariant map $h(F):Σ^{\infty}X \to Σ^{\infty}(Y \wedge Y)…
Signatures in algebra, topology and dynamics
Etienne Ghys, Andrew Ranicki
We survey the 19th century development of the signature of a quadratic form, and the applications in the 20th and 21st century to the topology of manifolds and dynamical systems. V…
On the semicontinuity of the mod 2 spectrum of hypersurface singularities
Maciej Borodzik, András Némethi, Andrew Ranicki
We use purely topological methods to prove the semicontinuity of the mod 2 spectrum of local isolated hypersurface singularities in , using Seifert forms of high-…