Csaba Nagy

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math.GT2026

Realising automorphisms of the extended intersection form by diffeomorphisms

Csaba Nagy

Suppose that $f : M \to B$ is a normal $(q - 1)$ -smoothing of a $2 q$ -manifold $M$ over some $(B, ξ)$ , where $q$ is even and $B$ is simply-connected. A diffeomorphism of $M$ ov…

math.GT2026

Extended surgery theory for simply-connected $4 k$ -manifolds

Csaba Nagy

Kreck proved that two $2 q$ -manifolds are stably diffeomorphic if and only if they admit normally bordant normal $(q - 1)$ -smoothings over the same normal $(q - 1)$ -type $(B, I^¾)$ . We sh…

math.GT2024

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 $n$ -manifolds that are $h$ -cobordant (hence homotopy equivalent) but not simple homotopy equivalent, when $n$ is…

Realising automorphisms of the extended intersection form by diffeomorphisms

Extended surgery theory for simply-connected 4k-manifolds

Generalised doubles and simple homotopy types of high dimensional manifolds

Extended surgery theory for simply-connected $4 k$ -manifolds