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EnglishIn this paper, we investigate existence of inequivalent smooth structures on closed smooth nonorientable 4-manifolds building upon results of Akbulut, Cappell–Shaneson, Fintushel–Stern, Gompf and Stolz. We add to the number of known constructions and provide new examples of exotic manifolds that are obtained as an application of Gluck twists to the standard smooth structure. Inspection of the smooth structure on the orientation 2-covers yields existence results of orientation-reversing exotic free involutions.
Smooth structures on nonorientable four-manifolds and free involutions / Torres Ruiz, Rafael. - In: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. - ISSN 0218-2165. - 26:13(2017), pp. 1-20. [10.1142/S0218216517500857]
| Titolo: | Smooth structures on nonorientable four-manifolds and free involutions | |
| Autori: | Torres Ruiz, Rafael | |
| Rivista: | ||
| Data di pubblicazione: | 2017 | |
| Volume: | 26 | |
| Fascicolo: | 13 | |
| Pagina iniziale: | 1 | |
| Pagina finale: | 20 | |
| Numero di Articolo: | 1750085 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S0218216517500857 | |
| URL: | https://www.worldscientific.com/doi/abs/10.1142/S0218216517500857 https://arxiv.org/abs/1306.2586 | |
| Appare nelle tipologie: | 1.1 Journal article |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Smooth structures on nonorientable 4-mflds.pdf | Main article | Versione Editoriale (PDF) | Non specificato | Administrator Richiedi una copia |
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/20.500.11767/71591
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