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# Branimir Ćaćić

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## Registered User

 Name Branimir Ćaćić Member for 2 years Seen 7 hours ago Website Location Pasadena, CA Age 26
I'm a doctoral candidate in Mathematics at Caltech. I'm also active at Math.SE, likewise under my own name.
 Mar29 awarded ● Citizen Patrol Feb25 revised what is a spinor structure?Clarifying crediting of results to Plymen, who was responsible for both the spin^c and spin results. Feb24 revised what is a spinor structure?Troubles with dashes Feb24 revised what is a spinor structure?added 74 characters in body Feb24 revised what is a spinor structure?added 350 characters in body Feb24 answered what is a spinor structure? Feb6 awarded ● Civic Duty Jan28 comment When is a Pseudo-differential operator trace class or in Dixmier ideal?Moreover, by the Connes trace formula (alainconnes.org/docs/action88.pdf), if your operator is of order $-k$ for $k = \dim M$, then it is in the Dixmier ideal; indeed, it is measurable (in the sense of the theory of Dixmier traces), and the (unique value of the) Dixmier trace is given by the Wodzicki residue of your operator. Jan10 awarded ● Enlightened Jan10 awarded ● Nice Answer Jan9 accepted Hopf Algebra for a physicist Jan9 answered Hopf Algebra for a physicist Jan9 revised Elaborating Mercer’s theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$Typo correction. Jan9 revised Elaborating Mercer’s theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$Corrections. Jan9 answered Elaborating Mercer’s theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$ Jan8 awarded ● Commentator Jan8 comment Eigenvalues of the free sphere@Z254R Is $\sqrt{d^\ast d}$ actually going to give you the "Dirac operator" of a spectral triple? From the look of it, I'd sooner expect $\sqrt{d^\ast d}$ to only be the absolute value of such an operator, and finding the correct "sign" is often the tricky part with constructing spectral triples from the ground up. Jan7 comment Seeing topological (geom.) properties of the space via corresponding C^*-algebra@IgorKhavkine: Would you happen to know how the approach of Michor and Vanžura compares to that outlined in "Smooth Manifolds and Observables" by "Jet Nestruev"? They seem to be at least in the same spirit, though I don't know how the details line up. Jan4 comment Symbols of elliptic operatorsDo you allow for the various Clifford actions entering into $\mathscr{C}_n$ to come from differing inner products (viz, Riemannian metrics) on $\mathbb{R}^n$? Jan2 awarded ● Necromancer Jan1 answered Noncommutative smooth manifolds Dec26 awarded ● Enthusiast Dec24 revised Morita equivalence for *-algebrasadded 5 characters in body Dec24 answered Morita equivalence for *-algebras Dec24 awarded ● Critic Dec24 comment A novice question on Quantum MechanicsNot just any matrices, though, but the positive (semi-definite) ones.