arXiv subjects

Iacopo Giordano

Publications and source records attributed to Iacopo Giordano.

2 recordsLinked to original sources

arXiv2022

Cohomology of twisted polynomial superfunctors through the twisting spectral sequence

We want to compute generic $\mathrm{Ext}$-spaces of twisted polynomial functors in relation to the $\mathrm{Ext}$-spaces of the untwisted ones, modulo a parametrisation. Thanks to the study of a spectral sequence we get to a computation in low degrees, with remarkable consequences at the level of generic cohomology.

math.AT↗

arXiv2022

Additive polynomial superfunctors and cohomology

We prove a classification of additive polynomial superfunctors, which allows us to compute some extensions of a superfunctor of the form $F \circ A$ where $F$ is a classical polynomial functor and $A$ is additive. We get a formula which relates these extensions to the classical ones of $F$. A possible generalisation is conjectured at the end.

math.AT↗