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Exotic G_2-manifolds

Crowley, Diarmuid...

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Exotic G_2-manifolds by Crowley, Diarmuid ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	01-01-2014
Summary	We exhibit the first examples of closed 7-dimensional Riemannian manifolds with holonomy G_2 that are homeomorphic but not diffeomorphic. These are also the first examples of closed Ricci-flat manifolds that are homeomorphic but not diffeomorphic. The examples are generated by applying the twisted connected sum construction to Fano 3-folds of Picard rank 1 and 2. The smooth structures are distinguished by the generalised Eells-Kuiper invariant introduced by the authors in arXiv:1406.2226.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1411.0656

Citation

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AMA 11th EditionReferences

Crowley, Diarmuid. Exotic G_2-manifolds. N.A. January 01, 2014. Accessed October 01, 2025. https://online.provdatabase.com/cite/18117

APA 7th EditionReferences

Crowley, Diarmuid. (2014). Exotic G_2-manifolds. N.A. https://online.provdatabase.com/cite/18117

Chicago 17th EditionReferences

Crowley, Diarmuid. Exotic G_2-manifolds. N.A. 2014. https://online.provdatabase.com/cite/18117

HarvardReferences

Crowley, Diarmuid. (2014). Exotic G_2-manifolds. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18117. (Accessed 01 October 2025).

Harvard AustraliaReferences

Crowley, Diarmuid, 2014, Exotic G_2-manifolds, N.A, viewed 01 October 2025, <https://online.provdatabase.com/cite/18117>

MLA 9th EditionWorks Cited

Crowley, Diarmuid. Exotic G_2-manifolds. N.A, 2014. PROV Database, https://online.provdatabase.com/cite/18117.

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