Ismael Sierra

activity

20222026

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math.AT2022

Homological stability of spin mapping class groups and quadratic symplectic groups

Ismael Sierra

We study the homological stability of spin mapping class groups of surfaces and of quadratic symplectic groups using cellular $E_{2}$ -algebras. We get improvements in their stability…

math.AT2022

Homological stability of diffeomorphism groups of high dimensional manifolds via $E_{k}$ -algebras

Ismael Sierra

We will study homological stability of the diffeomorphism groups of the manifolds $W_{g, 1} := D^{2 n} # (S^{n} \times S^{n})^{# g}$ using $E_{k}$ -algebras. This will lead to new improveme…

Homological stability of spin mapping class groups and quadratic symplectic groups

Homological stability of diffeomorphism groups of high dimensional manifolds via Ek​-algebras

Homological stability of diffeomorphism groups of high dimensional manifolds via $E_{k}$ -algebras