Talk:Self-maps of simply connected manifolds

1 Details for Arkowitz and Lupton's paper

Diarmuid Crowley and Clara Löh are working on showing that the algebras $\mathcal{M}_1$$== Details for Arkowitz and Lupton's paper == <wikitex>; [[User:Diarmuid Crowley|Diarmuid Crowley]] and [[User:Clara Löh|Clara Löh]] are working on showing that the algebras $\mathcal{M}_1$ and $\mathcal{M}_2$ of {{cite|Arkowitz&Lupton2000|Examples 5.1 & 5.2}} satisfy the theorem of Barge-Sullivan. In particular, we hope to give a detailed proof of the following: {{beginthm|Conjecture}} The rational intersection forms of $\mathcal{M}_1$ and $\mathcal{M}_2$ represent zero in the Witt group of $\Qq$. {{endthm}} </wikitex> [[User:Diarmuid Crowley|Diarmuid Crowley]] 14:13, 9 June 2010 (UTC), [[User:Clara Löh|Clara Löh]] == References == {{#RefList:}}\mathcal{M}_1$ and $\mathcal{M}_2$$\mathcal{M}_2$ of [Arkowitz&Lupton2000, Examples 5.1 & 5.2] satisfy the theorem of Barge-Sullivan. In particular, we hope to give a detailed proof of the following:

Conjecture 1.1. The rational intersection forms of $\mathcal{M}_1$$\mathcal{M}_1$ and $\mathcal{M}_2$$\mathcal{M}_2$ represent zero in the Witt group of $\Qq$$\Qq$.

Diarmuid Crowley 14:13, 9 June 2010 (UTC), Clara Löh

2 References

• [Arkowitz&Lupton2000] M. Arkowitz and G. Lupton, Rational obstruction theory and rational homotopy sets, Math. Z. 235 (2000), no.3, 525–539. MR1800210 (2001h:55012) Zbl 0968.55005