A Smale Type Result and Applications to Contact Homology
In this note we will show that the injection of a suitable subspace of the space of Legendrian loops into the full loop space is an S1-equivariant homotopy equivalence. Moreover, since the smaller space is the space of variations of a given action functional, we will compute the relative Contact Hom...
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| Format: | Article |
| Language: | English |
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University of Bologna
2014-12-01
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| Series: | Bruno Pini Mathematical Analysis Seminar |
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| Online Access: | http://mathematicalanalysis.unibo.it/article/view/4718 |
| _version_ | 1818859214838169600 |
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| author | Vittorio Martino |
| author_facet | Vittorio Martino |
| author_sort | Vittorio Martino |
| collection | DOAJ |
| description | In this note we will show that the injection of a suitable subspace of the space of Legendrian loops into the full loop space is an S1-equivariant homotopy equivalence. Moreover, since the smaller space is the space of variations of a given action functional, we will compute the relative Contact Homology of a family of tight contact forms on the three-dimensional torus. |
| first_indexed | 2024-12-19T09:08:38Z |
| format | Article |
| id | doaj.art-1adde5cbdd4540b48fc8122f59763bfb |
| institution | Directory Open Access Journal |
| issn | 2240-2829 |
| language | English |
| last_indexed | 2024-12-19T09:08:38Z |
| publishDate | 2014-12-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Bruno Pini Mathematical Analysis Seminar |
| spelling | doaj.art-1adde5cbdd4540b48fc8122f59763bfb2022-12-21T20:28:16ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292014-12-0151455610.6092/issn.2240-2829/47184322A Smale Type Result and Applications to Contact HomologyVittorio Martino0University of BolognaIn this note we will show that the injection of a suitable subspace of the space of Legendrian loops into the full loop space is an S1-equivariant homotopy equivalence. Moreover, since the smaller space is the space of variations of a given action functional, we will compute the relative Contact Homology of a family of tight contact forms on the three-dimensional torus.http://mathematicalanalysis.unibo.it/article/view/4718Contact Morse HomologyLegendrian loops |
| spellingShingle | Vittorio Martino A Smale Type Result and Applications to Contact Homology Bruno Pini Mathematical Analysis Seminar Contact Morse Homology Legendrian loops |
| title | A Smale Type Result and Applications to Contact Homology |
| title_full | A Smale Type Result and Applications to Contact Homology |
| title_fullStr | A Smale Type Result and Applications to Contact Homology |
| title_full_unstemmed | A Smale Type Result and Applications to Contact Homology |
| title_short | A Smale Type Result and Applications to Contact Homology |
| title_sort | smale type result and applications to contact homology |
| topic | Contact Morse Homology Legendrian loops |
| url | http://mathematicalanalysis.unibo.it/article/view/4718 |
| work_keys_str_mv | AT vittoriomartino asmaletyperesultandapplicationstocontacthomology AT vittoriomartino smaletyperesultandapplicationstocontacthomology |