منابع مشابه
Knot Concordance and Homology Cobordism Workshop
I will give an overview of the n-solvable filtration of the smooth knot (or string link) concordance group including the strategy and tools used to analyze it: higher-order Alexander modules, linking forms and signature defects. I will attempt to discuss what is known about this filtration, what is not known but should be knowable by present techniques; and discuss the failings of present techn...
متن کاملHomology Cobordism and Classical Knot Invariants
In this paper we define and investigate Z2–homology cobordism invariants of Z2–homology 3–spheres which turn out to be related to classical invariants of knots. As an application we show that many lens spaces have infinite order in the Z2–homology cobordism group and we prove a lower bound for the slice genus of a knot on which integral surgery yields a given Z2– homology sphere. We also give s...
متن کاملApplications of Heegaard Floer Homology to Knot and Link Concordance
Applications of Heegaard Floer Homology to Knot and Link Concordance
متن کاملFloer Homology and Invariants of Homology Cobordism
By using surgery techniques, we compute Floer homology for certain classes of integral homology 3-spheres homology cobordant to zero. We prove that Floer homology is two-periodic for all these manifolds. Based on this fact, we introduce a new integer valued invariant of integral homology 3-spheres. Our computations suggest its homology cobordism invariance.
متن کاملKnot Concordance
We prove the nontriviality at all levels of the filtration of the classical topological knot concordance group C · · · ⊆ Fn ⊆ · · · ⊆ F1 ⊆ F0 ⊆ C. defined in [COT]. This filtration is significant because not only is it strongly connected to Whitney tower constructions of Casson and Freedman, but all previously-known concordance invariants are related to the first few terms in the filtration. In...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2013
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2013-11471-1