Meneldur
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Registered User
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May 6 |
asked | Do you set a one or two commas when using \mapsto? |
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Feb 28 |
awarded | ● Critic |
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Nov 29 |
comment |
Topology of the Universal Spinor Field Bundle Also an interesting idea. Maybe someone knows a suitable reference to Fréchet manifold theory? |
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Nov 26 |
comment |
Topology of the Universal Spinor Field Bundle Thanks for your answer. I knew this paper before and had a look at it again now. Granted, Bourguignon-Gauduchon as well as Maier provide a map $\beta_{g,h}:\Sigma^g M \to \Sigma^h M$ between the two spinor bundles with respect to two fixed Riemannian metrics $g,h$. Since $\beta_{g,h}$ is an isomorphism, it is of course continuous in its argument. They also construct a Hilbert space isomorphism $\bar \beta_{g,h}:L^2(\Sigma^gM) \to L^2(\Sigma^hM)$ between the associated spaces of $L^2$-sections. But I am asking why and in what sense these constructions are continuous in the metrics $g,h$? |
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Nov 25 |
asked | Topology of the Universal Spinor Field Bundle |
