Session S27 - Categories and Topology

No date set.

$\mathbb{Z}_k$-Stratifolds

Arley Fernando Torres Galindo

Universidad de Los Andes , Colombia   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The present work brings together two important theories given by the $\mathbb{Z}_k$-manifolds from Sullivan and stratifolds from Kreck. We introduce the bordism theory of $\mathbb{Z}_k$-stratifolds in order to solve Steenrod's problem for $\mathbb{Z}_k$-coefficients in an affirmative way. Finally, we present a geometric interpretation of the Bockstein long exact sequence and the Atiyah-Hirzebruch spectral sequence for $\mathbb{Z}_k$-bordism ($k$ odd).

Joint work with Carlos Segovia Gonzales This email address is being protected from spambots. You need JavaScript enabled to view it. (UNAM-Oaxaca, México) and Angel Cardenas This email address is being protected from spambots. You need JavaScript enabled to view it. (Universidad de Los Andes, Colombia).

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