Examples of 'index theorem' in a sentence
Meaning of "index theorem"
The index theorem refers to a mathematical theorem that relates the properties of certain differential operators to topological invariants. It has applications in various branches of mathematics and physics
How to use "index theorem" in a sentence
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index theorem
Index theorem for families.
Atiyah singer index theorem.
So the index theorem can be proved by checking it on these particularly simple cases.
He wrote a textbook on the Atiyah-Singer index theorem.
Hopf index theorem.
This is the famous Atiyah-Singer index theorem.
Now the index theorem has become an integral part of their cultures.
One example he gives is the Atiyah-Singer index theorem.
Many proofs of the index theorem use pseudodifferential operators rather than differential operators.
Kawasaki 's original proof made a use of the equivariant index theorem.
This reduces the index theorem to the case of a point, when it is trivial.
It can also be deduced from the Atiyah-Singer index theorem.
This reduces the index theorem to the case of a point, where it is trivial.
This paper introduced undergraduates to the Atiyah-Singer index theorem.
After that the Atiyah-Singer index theorem opened another route to generalization.
See also
He found a heat equation proof for the Atiyah-Singer index theorem.
This follows from the Atiyah-Singer index theorem applied to the following signature operator.
Our results also yield a new proof of the Poincaré-Hopf index theorem.
Atiyah-singer index theorem.
They played an influential role in the first proof of the Atiyah-Singer index theorem.
Poincare-Hopf index theorem.
The early history of this result is entangled with that of the Atiyah-Singer index theorem.
Mod 2 index theorem.
A typical example of this is Rochlin 's theorem, which follows from the index theorem.
The K-theory and the index theorem.
For topological index in mathematics, see Atiyah-Singer index theorem.
Poincaré-Hopf index theorem.
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