Publication: A new construction of lens spaces
| cris.author.scopus-author-id | 55455895800 | |
| cris.author.scopus-author-id | 7202639537 | |
| cris.virtual.author-orcid | 0000-0003-1736-230X | |
| cris.virtual.author-orcid | #PLACEHOLDER_PARENT_METADATA_VALUE# | |
| cris.virtual.department | Indian Institute of Technology, Madras | |
| cris.virtual.department | #PLACEHOLDER_PARENT_METADATA_VALUE# | |
| cris.virtualsource.author-orcid | 60dc1d61-377c-4fc8-9c9b-61659814a8a7 | |
| cris.virtualsource.author-orcid | #PLACEHOLDER_PARENT_METADATA_VALUE# | |
| cris.virtualsource.department | 60dc1d61-377c-4fc8-9c9b-61659814a8a7 | |
| cris.virtualsource.department | #PLACEHOLDER_PARENT_METADATA_VALUE# | |
| dc.contributor.author | Sarkar, Soumen | |
| dc.contributor.author | Suh, Dong Youp | |
| dc.date.accessioned | 2023-09-19T14:09:09Z | |
| dc.date.available | 2023-09-19T14:09:09Z | |
| dc.date.issued | 15-05-2018 | |
| dc.description.abstract | Let Tn be the real n-torus group. We introduce a new definition of lens spaces and give some sufficient conditions for diffeomorphic classification of lens spaces. We show that any 3-dimensional lens space L(p;q) is T2-equivariantly cobordant to zero. We also give some sufficient conditions for higher dimensional lens spaces L(p;q1,…,qn) to be Tn+1-equivariantly cobordant to zero. General results in equivariant topology imply that torus equivariant complex bordism classes of lens spaces are trivial. In contrast, our proofs are constructive using toric topological arguments. | |
| dc.identifier.doi | 10.1016/j.topol.2018.02.032 | |
| dc.identifier.issn | 1668641 | |
| dc.identifier.scopus | 2-s2.0-85043289521 | |
| dc.identifier.uri | https://apicris.irins.org/handle/IITM2023/26372 | |
| dc.relation.ispartofseries | Topology and its Applications | |
| dc.source | Topology and its Applications | |
| dc.subject | Equivariant cobordism | |
| dc.subject | Lens space | |
| dc.subject | Torus action | |
| dc.title | A new construction of lens spaces | |
| dc.type | Journal | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 1 | |
| oaire.citation.startPage | Jan-00 | |
| oaire.citation.volume | 240 | |
| oairecerif.author.affiliation | Indian Institute of Technology, Madras | |
| oairecerif.author.affiliation | #PLACEHOLDER_PARENT_METADATA_VALUE# | |
| person.affiliation.city | Daejeon | |
| person.affiliation.city | Chennai | |
| person.affiliation.id | 60032144 | |
| person.affiliation.id | 60025757 | |
| person.affiliation.name | Korea Advanced Institute of Science and Technology | |
| person.affiliation.name | Indian Institute of Technology Madras |