Csaba Nagy

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20172026

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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…

math.GT2024

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 $(B, ξ)$ . We sho…

Generalised doubles and simple homotopy types of high dimensional manifolds

Extended surgery theory for simply-connected 4k-manifolds

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