Branimir Ćaćić
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Registered User
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I'm a doctoral candidate in Mathematics at Caltech. I'm also active at Math.SE, likewise under my own name.
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Mar 29 |
awarded | ● Citizen Patrol |
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Feb 25 |
revised |
what is a spinor structure? Clarifying crediting of results to Plymen, who was responsible for both the spin^c and spin results. |
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Feb 24 |
revised |
what is a spinor structure? Troubles with dashes |
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Feb 24 |
revised |
what is a spinor structure? added 74 characters in body |
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Feb 24 |
revised |
what is a spinor structure? added 350 characters in body |
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Feb 24 |
answered | what is a spinor structure? |
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Feb 6 |
awarded | ● Civic Duty |
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Jan 28 |
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. |
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Jan 10 |
awarded | ● Enlightened |
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Jan 10 |
awarded | ● Nice Answer |
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Jan 9 |
accepted | Hopf Algebra for a physicist |
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Jan 9 |
answered | Hopf Algebra for a physicist |
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Jan 9 |
revised |
Elaborating Mercer’s theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$ Typo correction. |
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Jan 9 |
revised |
Elaborating Mercer’s theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$ Corrections. |
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Jan 9 |
answered | Elaborating Mercer’s theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$ |
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Jan 8 |
awarded | ● Commentator |
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Jan 8 |
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. |
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Jan 7 |
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. |
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Jan 4 |
comment |
Symbols of elliptic operators Do you allow for the various Clifford actions entering into $\mathscr{C}_n$ to come from differing inner products (viz, Riemannian metrics) on $\mathbb{R}^n$? |
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Jan 2 |
awarded | ● Necromancer |
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Jan 1 |
answered | Noncommutative smooth manifolds |
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Dec 26 |
awarded | ● Enthusiast |
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Dec 24 |
revised |
Morita equivalence for *-algebras added 5 characters in body |
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Dec 24 |
answered | Morita equivalence for *-algebras |
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Dec 24 |
awarded | ● Critic |
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Dec 24 |
comment |
A novice question on Quantum Mechanics Not just any matrices, though, but the positive (semi-definite) ones. |
