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Results tagged with clifford-algebras
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user 20302
4
votes
Karoubi versus Kasparov K-theory
About 15 years ago I used Karoubi's description of $K$-theory to solve prove some cutting and pasting formula for the index families of elliptic problems. To do so I needed rephrase Karoubi …
- 34.7k
18
votes
What are the "correct" conventions for defining Clifford algebras?
To my mind, it has to do with p.d.e.'s and to your background, geometry or physics. Let me explain. $\newcommand{\pa}{\partial}$
Fix $\epsilon=\pm 1$. Define the Clifford algebra using the $\ep …
- 34.7k
4
votes
Weitzenböck Identity for $\Delta_{\bar{\partial}_E}$
The answer for both questions 1, 2 is yes, the metric connection in Proposition 9.1.27 is the Levi-Civita induced connection if the background manifold is Kahler. When $X$ is only a Hermitia …
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