sequelpro/Bundles
Useful bundles for extending the functionality of Sequel Pro (version 0.9.9 or later) (⭐ 267)
NVlabs/BundleSDF
[CVPR 2023] BundleSDF: Neural 6-DoF Tracking and 3D Reconstruction of Unknown Objects (⭐ 1335)
Bundles (album) - Wikipedia
Bundles is the eighth studio album by the jazz-rock band Soft Machine, released in 1975. By the time of Bundles, most of Soft Machine's members had previously
Counting Higgs bundles and type A quiver bundles
We prove a closed formula counting semistable twisted (or meromorphic) Higgs bundles of fixed rank and degree over a smooth projective curve of genus g, defined over a finite field, when the degree of the twisting line bundle is at least 2g-2; this i...
A'Lelia Bundles - Wikipedia
Renaissance and daughter of entrepreneur Madam C. J. Walker. Bundles' mother, A'Lelia Mae Perry Bundles (1928–1976), vice president of the Madam C. J. Walker
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Projective Poincaré and Picard bundles for moduli spaces of vector bundles over nodal curv…
Let $U^{'s}_L(n,d)$ be the moduli space of stable vector bundles of rank $n$ with determinant $L$ where $L$ is a fixed line bundle of degree $d$ over a nodal curve $Y$. We prove that the projective Poincare bundle on $Y \times U^{'s}_L(n,d)$ and the...
Hecke Modifications, Wonderful Compactifications and Moduli of Principal Bundles
In this paper, we obtain parametrizations of the moduli space of principal bundles over a compact Riemann surface using spaces of Hecke modifications in several cases. We begin with a discussion of Hecke modifications for principal bundles and give c...
On the Buchsbaum index of rank two vector bundles on P3
We classify rank two vector bundles on P3 with Buchsbaum index equal to three and also give some results on the H1-module of "negative instanton"bundles....
Picard group of moduli of parabolic Higgs bundles
Let $X$ be a compact Riemann surface of genus $g\geq 3$ and let $\mathcal{M}_{\mathrm{par}}$ be the moduli space of semistable parabolic bundles over $X$. Let $\mathcal{M}_{\mathrm{parH}}$ denote the moduli space of semistable parabolic Higgs bundles...
Subtleties Concerning Conformal Tractor Bundles
The realization of tractor bundles as associated bundles in conformal geometry is studied. It is shown that different natural choices of principal bundle with normal Cartan connection corresponding to a given conformal manifold can give rise to topol...
Vector bundles give equations of cactus varieties
We prove that vector bundles give equations of cactus varieties. We derive from it that equations coming from vector bundles are not enough to define secant varieties of Veronese varieties in general....
Twisted vector bundles on pointed nodal curves
We establish a striking connection between Abramovich's and Vistoli's twisted bundles and Gieseker vector bundles. This note grew out of an attempt to understand a recent draft of Seshadri....
Quantum Principal Bundles
A noncommutative-geometric generalization of the theory of principal bundles is sketched. A differential calculus over corresponding quantum principal bundles is analysed. The formalism of connections is presented. In particular, operators of covar...
Geometry of Quantum Principal Bundles I
A theory of principal bundles possessing quantum structure groups and classical base manifolds is presented. Structural analysis of such quantum principal bundles is performed. A differential calculus is constructed, combining differential forms on...
Higgs bundles, abelian gerbes and cameral data
We study the Hitchin map for $G_{\mathbb{R}}$-Higgs bundles on a smooth curve, where $G_{\mathbb{R}}$ is a quasi-split real form of a complex reductive algebraic group $G$. By looking at the moduli stack of regular $G_{\mathbb{R}}$-Higgs bundles, we...
Stable Parabolic Higgs Bundles as Asymptotically Stable Decorated Swamps
Parabolic Higgs bundles can be described in terms of decorated swamps, which we studied in a recent paper. This description induces a notion of stability of parabolic Higgs bundles depending on a parameter, and we construct their moduli space inside...
Moduli spaces of vector bundles over a real curve: Z/2-Betti numbers
Moduli spaces of real bundles over a real curve arise naturally as Lagrangian submanifolds of the moduli space of semi-stable bundles over a complex curve. In this paper, we adapt the methods of Atiyah-Bott's "Yang-Mills over a Riemann Surface" to co...
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