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Sebastian Goette
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This line

The symbol may naturally be thought of as an element in the K-theory of X

appears in the nLab page on principal symbolsnLab page on principal symbols for differential operators. What does this mean? Are they talking about K-theory or K-homology? How does one produce a class from the symbol of the operator?

This line

The symbol may naturally be thought of as an element in the K-theory of X

appears in the nLab page on principal symbols for differential operators. What does this mean? Are they talking about K-theory or K-homology? How does one produce a class from the symbol of the operator?

This line

The symbol may naturally be thought of as an element in the K-theory of X

appears in the nLab page on principal symbols for differential operators. What does this mean? Are they talking about K-theory or K-homology? How does one produce a class from the symbol of the operator?

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Jake Wetlock
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The principal symbol as an element in the K-theory

This line

The symbol may naturally be thought of as an element in the K-theory of X

appears in the nLab page on principal symbols for differential operators. What does this mean? Are they talking about K-theory or K-homology? How does one produce a class from the symbol of the operator?