6 papers
A survey on mapping class groups of 3-manifolds
Philipp Bader, Rachael Boyd, Giulia Carfora +8
We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold . We provide a guide to the literature and sketch proofs for var…
Realising automorphisms of the extended intersection form by diffeomorphisms
Csaba Nagy
Suppose that is a normal -smoothing of a -manifold over some , where is even and is simply-connected. A diffeomorphism of ov…
Generalised doubles and simple homotopy types of high dimensional manifolds
Csaba Nagy, John Nicholson, Mark Powell
We characterise the set of fundamental groups for which there exist -manifolds that are -cobordant (hence homotopy equivalent) but not simple homotopy equivalent, when is…
Extended surgery theory for simply-connected -manifolds
Csaba Nagy
Kreck proved that two -manifolds are stably diffeomorphic if and only if they admit normally bordant normal -smoothings over the same normal -type . We sho…
Simple homotopy types of even dimensional manifolds
Csaba Nagy, John Nicholson, Mark Powell
Given a closed -manifold, we consider the set of simple homotopy types of -manifolds within its homotopy type, called its simple homotopy manifold set. We characterise it in…
Cobordism groups of simple branched coverings
Csaba Nagy
We consider branched coverings which are simple in the sense that any point of the target has at most one singular preimage. The cobordism classes of -fold simple branched cover…