Upsilon invariants from cyclic branched covers
We extend the construction of Y-type invariants to null-homologous knots in rational homology three-spheres. By considering m-fold cyclic branched covers with m a prime power, this extension provides new knot concordance invariants YCm(K) of knots in S3. We give computations of some of these invaria...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Akadémiai Kiadó
2021
|
| _version_ | 1797101061033426944 |
|---|---|
| author | Alfieri, A Celoria, D Stipsicz, A |
| author_facet | Alfieri, A Celoria, D Stipsicz, A |
| author_sort | Alfieri, A |
| collection | OXFORD |
| description | We extend the construction of Y-type invariants to null-homologous knots in rational homology three-spheres. By considering m-fold cyclic branched covers with m a prime power, this extension provides new knot concordance invariants YCm(K) of knots in S3. We give computations of some of these invariants for alternating knots and reprove independence results in the smooth concordance group. |
| first_indexed | 2024-03-07T05:46:34Z |
| format | Journal article |
| id | oxford-uuid:e76ad22d-9570-460b-b302-d3627f51ee06 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:46:34Z |
| publishDate | 2021 |
| publisher | Akadémiai Kiadó |
| record_format | dspace |
| spelling | oxford-uuid:e76ad22d-9570-460b-b302-d3627f51ee062022-03-27T10:38:31ZUpsilon invariants from cyclic branched coversJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e76ad22d-9570-460b-b302-d3627f51ee06EnglishSymplectic ElementsAkadémiai Kiadó2021Alfieri, ACeloria, DStipsicz, AWe extend the construction of Y-type invariants to null-homologous knots in rational homology three-spheres. By considering m-fold cyclic branched covers with m a prime power, this extension provides new knot concordance invariants YCm(K) of knots in S3. We give computations of some of these invariants for alternating knots and reprove independence results in the smooth concordance group. |
| spellingShingle | Alfieri, A Celoria, D Stipsicz, A Upsilon invariants from cyclic branched covers |
| title | Upsilon invariants from cyclic branched covers |
| title_full | Upsilon invariants from cyclic branched covers |
| title_fullStr | Upsilon invariants from cyclic branched covers |
| title_full_unstemmed | Upsilon invariants from cyclic branched covers |
| title_short | Upsilon invariants from cyclic branched covers |
| title_sort | upsilon invariants from cyclic branched covers |
| work_keys_str_mv | AT alfieria upsiloninvariantsfromcyclicbranchedcovers AT celoriad upsiloninvariantsfromcyclicbranchedcovers AT stipsicza upsiloninvariantsfromcyclicbranchedcovers |