Manuel Krannich

activity

20172026

most citedMapping class groups of highly connected

(4 k + 2)

-manifolds

20 citations · 76 across the 21 of their papers we have counts for

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4 papers · 1 filter

math.GT2024

A note on homotopy and pseudoisotopy of diffeomorphisms of $4$ -manifolds

Manuel Krannich, Alexander Kupers

This note serves to record examples of diffeomorphisms of closed smooth $4$ -manifolds $X$ that are homotopic but not pseudoisotopic to the identity, and to explain why there are no…

math.GT2023

Mapping class groups of exotic tori and actions by $SL_{d} (Z)$

Mauricio Bustamante, Manuel Krannich, Alexander Kupers +1

We determine for which exotic tori $T$ of dimension $d \neq = 4$ the homomorphism from the group of isotopy classes of orientation-preserving diffeomorphisms of $T$ …

math.GT2021★ 6 cited

Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic

Manuel Krannich, Oscar Randal-Williams

It is well known that Sullivan showed that the mapping class group of a simply connected high-dimensional manifold is commensurable with an arithmetic group, but the meaning of "co…

math.GT2021

On Torelli groups and Dehn twists of smooth 4-manifolds

Manuel Krannich, Alexander Kupers

This note has two related but independent parts. Firstly, we prove a generalisation of a recent result of Gay on the smooth mapping class group of $S^{4}$ . Secondly, we give an alter…

A note on homotopy and pseudoisotopy of diffeomorphisms of 4-manifolds

Mapping class groups of exotic tori and actions by SLd​(Z)

Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic

On Torelli groups and Dehn twists of smooth 4-manifolds

A note on homotopy and pseudoisotopy of diffeomorphisms of $4$ -manifolds

Mapping class groups of exotic tori and actions by $SL_{d} (Z)$