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Results tagged with clifford-algebras
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user 20302
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 …
- 34.7k
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