Talk:Self-maps of simply connected manifolds
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== Details for Arkowitz and Lupton's paper == | == Details for Arkowitz and Lupton's paper == | ||
<wikitex>; | <wikitex>; | ||
| − | [[User:Diarmuid Crowley|Diarmuid Crowley]] and [[User:Clara Löh|Clara Löh]] are working on showing that the algebras 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 | + | [[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}} | {{beginthm|Conjecture}} | ||
| − | + | The rational intersection forms of $\mathcal{M}_1$ and $\mathcal{M}_2$ represent zero in the Witt group of $\Qq$. | |
{{endthm}} | {{endthm}} | ||
</wikitex> | </wikitex> | ||
| − | [[User:Diarmuid Crowley|Diarmuid Crowley]] 14:13, 9 June 2010 (UTC) | + | [[User:Diarmuid Crowley|Diarmuid Crowley]] 14:13, 9 June 2010 (UTC), [[User:Clara Löh|Clara Löh]] |
== References == | == References == | ||
{{#RefList:}} | {{#RefList:}} | ||
Revision as of 16:50, 9 June 2010
1 Details for Arkowitz and Lupton's paper
Diarmuid Crowley and Clara Löh are working on showing that the algebras 
and 
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 and represent zero in the Witt group of 
.
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
