### About this blog

Rigorous trivialities is a web log about mathematics, but especially geometry, broadly construed. Contributors will be Charles Siegel, Jim Stankewicz and occasionally Matt Deland. Charles specializes in algebraic geometry, topology and mathematical physics. Jim specializes in arithmetic algebraic geometry. Matt has transitioned from algebraic geometry to work in industry.

Header is taken from the larger work by fdecomite under the creative commons license.

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# Category Archives: Knot Theory

## Polynomial Knots II

So last time, I talked about the basics of polynomial knots as individual objects. Now, we’re going to talk about their parameter spaces as well as the most important new knot invariant they have given us. So first off, we … Continue reading

Posted in Algebraic Geometry, Knot Theory
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## Polynomial Knots I

So I’m going to start out with something that I’ve been thinking about for about a year now, though not very hard. To begin with, a knot is an embedding of the circle into the three sphere, and for our … Continue reading

Posted in Algebraic Geometry, Knot Theory
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