A Bordism Viewpoint of Fiberwise Intersections
We use the geometric data to define a bordism invariant for the fiberwise intersection theory. Under some certain conditions, this invariant is an obstruction for the theory. Moreover, we prove the converse of fiberwise Lefschetz fixed point theorem.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/430105 |
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| _version_ | 1832559035239366656 |
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| author | Gun Sunyeekhan |
| author_facet | Gun Sunyeekhan |
| author_sort | Gun Sunyeekhan |
| collection | DOAJ |
| description | We use the geometric data to define a bordism invariant for the fiberwise intersection theory. Under some certain conditions, this invariant is an obstruction for the theory. Moreover, we prove the converse of fiberwise Lefschetz fixed point theorem. |
| format | Article |
| id | doaj-art-d9b0b485db5242bbbb953c9777d74398 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d9b0b485db5242bbbb953c9777d743982025-02-03T01:31:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/430105430105A Bordism Viewpoint of Fiberwise IntersectionsGun Sunyeekhan050 Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, ThailandWe use the geometric data to define a bordism invariant for the fiberwise intersection theory. Under some certain conditions, this invariant is an obstruction for the theory. Moreover, we prove the converse of fiberwise Lefschetz fixed point theorem.http://dx.doi.org/10.1155/2013/430105 |
| spellingShingle | Gun Sunyeekhan A Bordism Viewpoint of Fiberwise Intersections International Journal of Mathematics and Mathematical Sciences |
| title | A Bordism Viewpoint of Fiberwise Intersections |
| title_full | A Bordism Viewpoint of Fiberwise Intersections |
| title_fullStr | A Bordism Viewpoint of Fiberwise Intersections |
| title_full_unstemmed | A Bordism Viewpoint of Fiberwise Intersections |
| title_short | A Bordism Viewpoint of Fiberwise Intersections |
| title_sort | bordism viewpoint of fiberwise intersections |
| url | http://dx.doi.org/10.1155/2013/430105 |
| work_keys_str_mv | AT gunsunyeekhan abordismviewpointoffiberwiseintersections AT gunsunyeekhan bordismviewpointoffiberwiseintersections |