The Determinant and the Signature: Difference between revisions
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Thus, for example, the knots [[5_1]] and [[10_132]] have the same determinant (and even the same Alexander and Jones polynomials), but different signatures: |
Thus, for example, the knots [[5_1]] and [[10_132]] have the same determinant (and even the same Alexander and Jones polynomials), but different signatures: |
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[[Image:5_1.gif|frame|none| |
<center>[[Image:5_1.gif|frame|none|[[5_1]]]]</center>[[Image:10_132.gif|frame|none|<center>[[10_132]]</center>]] |
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<!--$$KnotDet /@ {Knot[5, 1], Knot[10, 132]}$$--> |
<!--$$KnotDet /@ {Knot[5, 1], Knot[10, 132]}$$--> |
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Revision as of 22:22, 25 August 2005
(For In[1] see Setup)
Thus, for example, the knots 5_1 and 10_132 have the same determinant (and even the same Alexander and Jones polynomials), but different signatures:
