The Determinant and the Signature: Difference between revisions

From Knot Atlas
Jump to navigationJump to search
No edit summary
No edit summary
Line 10: Line 10:
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:


{| align=center
⚫
<center>[[Image:5_1.gif|frame|none|[[5_1]]]]</center>[[Image:10_132.gif|frame|none|<center>[[10_132]]</center>]]
|[[Image:5_1.gif|frame|none|<center>[[5_1]]</center>|120px]]
⚫
|[[Image:10_132.gif|frame|none|<center>[[10_132]]</center>|120px]]
|}


<!--$$KnotDet /@ {Knot[5, 1], Knot[10, 132]}$$-->
<!--$$KnotDet /@ {Knot[5, 1], Knot[10, 132]}$$-->

Revision as of 23:23, 25 August 2005


KnotTheory`/Navigation 

The Mathematica Package KnotTheory`

(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:

5_1
10_132



Retrieved from "https://katlas.org/index.php?title=The_Determinant_and_the_Signature&oldid=1665"