Tweet at me your favorite differential operator and why you think it's better than the Hodge Laplacian
Then would you please clarify what you meant when you said that the Dirac operator can distinguish between spin structures? Is it merely that the Dirac operator is, in a suitable sense, a one-to-one function of the spin structure?
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No, I meant something weaker and well-known: the spectrum of the Dirac operator depends on the spin structure, so we can *sometimes* use it to distinguish between spin structures: https://arxiv.org/pdf/math/0007131.pdf … Btw, I thought Leo's question was a joke, so my response was a joke.
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Behind every math joke is a kernel of math truth This is why math jokes kill
End of conversation
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