Federico Cantero Morán

My research is about algebraic and geometric topology, particularly the homotopy theory of moduli spaces of submanifolds. The prominent examples of such moduli spaces are configuration spaces (when the submanifolds have dimension 0) and knot spaces (when the submanifolds have dimension 1).


Papers:

Higher Steenrod squares for Khovanov homology (arxiv)

A metric for the space of submanifolds of Galatius and Randal-Williams (arxiv)

The space of merging submanifolds in Rn (arxiv)

A note on hyperspaces and the compact-open topology (arxiv)

Extreme Khovanov spectra, with Marithania Silvero, accepted in Revista Matemática iberoamericana (arxiv)

Weight decompositions of Thom spaces in rational homotopy theory, with Urtzi Buijs and Joana Cirici, accepted in Journal of Homotopy and Related Structures (arxiv)

On homological stability for configuration spaces in closed background manifolds, with Martin Palmer, Documenta Math. 20 (2015) 753--805. (arxiv)

Homological stability for spaces of embedded surfaces, with Oscar Randal-Williams, Geometry & Topology 21 (2017) 1387--1467 (arxiv)


Slides:

Realisations of Khovanov spectra, at International Conference on Manifolds, Groups and Homotopy in Skye (2018) (pdf)

On homological stability for configuration spaces in closed background manifolds, at YTM in Copenhaguen (2014) (pdf)

Stable homology of spaces of embedded surfaces: Closed background manifolds at SYTM in Barcelona (2013) (pdf)

Homological stability for spaces of embedded surfaces, at UNED in Madrid (2013) (pdf in spanish)


Posters:

Una métrica para el espacio de subvariedades de Galatius y Randal-Williams, at XX Encuentro de la Red Española de Topología in Madrid (2013) (poster)

Estabilidad homológica para espacios de superficies, at XVIII Encuentro de la Red Española de Topología in Sevilla (2011) (poster)