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

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AT2020★ 6 cited

An $H P^{2}$ -bundle over $S^{4}$ with nontrivial $A^$ -genus

Manuel Krannich, Alexander Kupers, Oscar Randal-Williams

We explain the existence of a smooth $H P^{2}$ -bundle over $S^{4}$ whose total space has nontrivial $A^$ -genus. Combined with an argument going back to Hitchin, this answers a ques…

math.AT2020

Some Hermitian K-groups via geometric topology

Manuel Krannich, Alexander Kupers

We compute the first two symplectic quadratic K-theory groups of the integers, or equivalently, the first two stable homology groups of the group of symplectic integral matrices pr…

math.AT2020★ 12 cited

A homological approach to pseudoisotopy theory. I

Manuel Krannich

We construct a zig-zag from the once delooped space of pseudoisotopies of a closed $2 n$ -disc to the once looped algebraic $K$ -theory space of the integers and show that the maps in…

An HP2-bundle over S4 with nontrivial A^-genus

Some Hermitian K-groups via geometric topology

A homological approach to pseudoisotopy theory. I

An $H P^{2}$ -bundle over $S^{4}$ with nontrivial $A^$ -genus