arXiv subjects

Pelle Salomonsson

Publications and source records attributed to Pelle Salomonsson.

5 recordsLinked to original sources

arXiv2011

Bimonoidal operad-actions and the product in negative Tate-cohomology

We study a certain construction designed to bring together the following two topics: $i$) Dyer--Lashof-operations in negative Tate-cohomology, $ii$) the description of negative Tate-cohomology in terms of joins. It has the merit of making (some) sense in a more general context: where the loop-space of the space under study no longer has to be of compact homotopy-type. The exposition given here is a streamlined version of a previous version of mine, available here at the Arxiv.

math.AT↗

arXiv2010

The linear isometries operad in Lie--Tate homology

We give an independent, and perhaps somewhat simplified, description of the product in negative Tate-cohomology (the generalised version for compact Lie-groups). We describe, but do not compute, the corresponding action of the Dyer--Lashof-algebra, using the linear-isometries operad.

math.AT↗

arXiv2009

Steenrod operations in Gromov--Witten theory: a computation for CP^n

I could not get this paper published; it was considered uninteresting by the referee. And now, several years later, I also detect (what seems to be) a serious error in it. This general line of research may still, however, be of some interest.

math.AG↗

arXiv2004

Strict polynomial functors and multisets

We prove a generalisation to any characteristic of a result of Macdonald that describes strict polynomial functors in characteristic zero in terms of representations of the groupoid of finite sets and bijections. Our result will give an analogous description in terms of finite multisets and an extension of the notion of bijection appropriate for multisets. A projected application is to the description of strict polynomial monads that will give a notion generalising (linear algebra) operads.

math.RT↗

arXiv2003

Equations for some very special Enriques surfaces in characteristic two

We give an explicit construction and clasification of some very special sort of Enriques surfaces in characteristic two. This proves the existence of some of the surfaces that were called ``extra-special'' by Cossec and Dolgachev in their book on the subject, and whose existence was left open by them. These surfaces coincide with a class of surfaces that are introduced in recent work by Ekedahl and Shepherd--Barron.

math.AG↗