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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
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In the study of homology cobordisms, knot concordance and link concordance, the following technical problem arises frequently: let ${\pi}$ be a group and let M ${\rightarrow}$ N be a homomorphism between projective $\mathbb{Z}[{\pi}]$-modules such that $\mathbb{Z}_p\;{\otimes}_{\mathbb{Z}[{\pi}]}M{\rightarrow}\mathbb{Z}_p{\otimes}_{\mathbb{Z}[{\pi}]}\;N$ is injective; for which other right $\mathbb{Z}[{\pi}]$-modules V is the induced map $V{\otimes}_{\mathbb{Z}[{\pi}]}\;M{\rightarrow}\;V{\otimes}_{\mathbb{Z}[{\pi}]}\;N$ also injective? Our main theorem gives a new criterion which combines and generalizes many previous results.
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참고문헌 (20)
참고문헌 신청
A. Casson / 1986 / Cobordism of classical knots, A la Recherche de la Topolo- gie Perdue / Progr. Math 62 : 181 ~ 199
C. F. Letsche / 2000 / An obstruction to slicing knots using the eta invariant / Math. Proc. Cambridge Philos. Soc 128 (2) : 301 ~ 319
C. Herald / 2010 / Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation / Mathematische Zeitschrift 265 (4) : 925 ~ 949
J. C. Cha / / L(2)-signatures, homology localization and amenable groups, To appear in Communications on Pure and Applied Math.
J. C. Cha / / Twisted torsion invariants and link concordance, To appear in Forum Mathematicum
C. F. Letsche / 2000 / An obstruction to slicing knots using the eta invariant / Math. Proc. Cambridge Philos. Soc 128 (2) : 301 ~ 319
C. Herald / 2010 / Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation / Mathematische Zeitschrift 265 (4) : 925 ~ 949
J. C. Cha / / L(2)-signatures, homology localization and amenable groups, To appear in Communications on Pure and Applied Math.
J. C. Cha / / Twisted torsion invariants and link concordance, To appear in Forum Mathematicum
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