منابع مشابه
Concordance and Mutation
We provide a framework for studying the interplay between concordance and positive mutation and identify some of the basic structures relating the two. The fundamental result in understanding knot concordance is the structure theorem proved by Levine: for n > 1 there is an isomorphism φ from the concordance group C n of knotted (2n−1)–spheres in S 2n+1 to an algebraically defined group G ± ; fu...
متن کاملKnot Mutation: 4–genus of Knots and Algebraic Concordance
Kearton observed that mutation can change the concordance class of a knot. A close examination of his example reveals that it is of 4–genus 1 and has a mutant of 4–genus 0. The first goal of this paper is to construct examples to show that for any pair of nonnegative integers m and n there is a knot of 4–genus m with a mutant of 4–genus n. A second result of this paper is a crossing change form...
متن کاملConcordance of KRAS/BRAF Mutation Status in Metastatic Colorectal Cancer before and after Anti-EGFR Therapy
Anti-EGFR targeted therapy is a potent strategy in the treatment of metastatic colorectal cancer (mCRC) but activating mutations in the KRAS gene are associated with poor response to this treatment. Therefore, KRAS mutation analysis is employed in the selection of patients for EGFR-targeted therapy and various studies have shown a high concordance between the mutation status in primary CRC and ...
متن کاملThe Effect of Mutation on Link Concordance, 3-manifolds and the Milnor Invariants
We study the effect of mutation on link concordance and 3-manifolds. We show that the set of links concordant to sublinks of homology boundary links is not closed under positive mutation. We show that mutation does not preserve homology cobordism classes of 3-manifolds. A significant consequence is that there exist 3-manifolds which have the same quantum SU(2)-invariants but are not homology co...
متن کاملA New S-test for Haplotype Analysis: Concordance and Discordance
A new test of inheritance, S, is proposed, which uses information from affected as well as unaffected siblings in the fam­ ily. The siblings are analyzed in terms of similarities of haplotypes. The distribution of the proposed S­test is derived under the null hypothesis of random inheritance. Mean and variance are obtained for the distribution. The test is then applied to data sets publ...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2001
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2001.5.831