Friedl, S. and Powell, M. (2012) An injectivity theorem for Casson-Gordon type representations relating to the concordance of knots and links. Bulletin of the Korean Mathematical Society, 49(2), pp. 395-409. (doi: 10.4134/BKMS.2012.49.2.395)
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Abstract
In the study of homology cobordisms, knot concordance and link concordance, the following technical problem arises frequently: let π be a group and let M → N be a homomorphism between projective Z [ π ] -modules such that Z p ⊗ Z [ π ] M → Z p ⊗ Z [ π ] N is injective; for which other right Z [ π ] -modules V is the induced map V ⊗ Z [ π ] M → V ⊗ Z [ π ] N also injective? Our main theorem gives a new criterion which combines and generalizes many previous results.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Powell, Dr Mark |
| Authors: | Friedl, S., and Powell, M. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Bulletin of the Korean Mathematical Society |
| Publisher: | Korean Mathematical Society |
| ISSN: | 1015-8634 |
| ISSN (Online): | 2234-3016 |
| Related URLs: |
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