Talk:Self-maps of simply connected manifolds
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The rational intersection forms of $\mathcal{M}_1$ and $\mathcal{M}_2$ represent zero in the Witt group of $\Qq$. | The rational intersection forms of $\mathcal{M}_1$ and $\mathcal{M}_2$ represent zero in the Witt group of $\Qq$. | ||
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| + | [[User:Diarmuid Crowley|Diarmuid Crowley]] 14:13, 9 June 2010 (UTC), [[User:Clara Löh|Clara Löh]] | ||
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The conjecture above was proven in {{cite|Crowley&Löh2015}}. | The conjecture above was proven in {{cite|Crowley&Löh2015}}. | ||
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== References == | == References == | ||
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Latest revision as of 08:48, 2 January 2019
[edit] 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
Remark 1.2. The conjecture above was proven in [Crowley&Löh2015].
[edit] 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
- [Crowley&Löh2015] D. Crowley and C. Löh, Functorial seminorms on singular homology and (in)flexible manifolds, Algebr. Geom. Topol. 15 (2015), no.3, 1453–1499. MR3361142 Zbl 1391.57008
