Research
On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

Trend · papers per month

0111 · Aug 200819922001200920172026
4 results for b-fibration

The article studies mapping properties of Radon transform and backprojection on a unit ball.

problem Polyhomogeneous mapping properties of Radon transform and backprojection operator on the unit ball.
method Constructs a double b-fibration to desingularize the point-hyperplane relation, provides formulas and sharper estimates.
result Sharper estimates on polyhomogeneous mapping properties of Radon transform and backprojection compared to classic estimates.

Study X-ray transform on manifolds, desingularize, and improve mapping properties.

problem Characterize mapping properties of X-ray transform and its adjoint on manifolds with strictly convex boundary.
method Use b-fibrations, desingularize, and apply Melrose's Pushforward Theorem to analyze polyhomogeneous functions.
result Improved mapping properties of X-ray transform and its adjoint, recovering sharp results.

We define compactifications of vector spaces which are functorial with respect to certain linear maps. These "many-body" compactifications are manifolds with corners, and the linear maps lift to b-maps in the sense of Melrose. We derive a simple criterion under which the lifted maps are in fact b-fibrations, and identi…

2017-12-11abs ↗pdf ↗

For a compact manifold with boundary XX we introduce the nn-fold scattering stretched product XscnX^n_{\text{sc}} which is a compact manifold with corners for each n,n, coinciding with the previously known cases for n=2,3.n=2,3. It is constructed by iterated blow up of boundary faces and boundary faces of multi-diagonals i…

2008-08-14abs ↗pdf ↗