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Equivariant Fibrations
In this paper, we study equivariant Hurewicz fibrations, obtain their internal characteristics, and prove theorems on relationship between...
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Finiteness of stable Lagrangian fibrations
In this paper we survey some finiteness results of the deformation classes of hyperkähler Lagrangian fibrations, and we prove finiteness for stable...
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Contact Symplectic Fibrations and Bundle Contact Structures
We consider a certain type of fiber bundles with odd dimensional connected contact base, exact symplectic fibers, and the structure group contained...
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Quantum Fibrations: Quantum Computation on an Arbitrary Topological Space
Using operator algebras, we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space. Quantum...
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An introduction to rationally connected fibrations over curves and surfaces
In this expository note we give an overview on some of the main results in the theory of complex rationally connected fibrations and the existence of...
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Great circle fibrations and contact structures on odd-dimensional spheres
It is known that for every smooth great circle fibration of the 3-sphere, the distribution of tangent 2-planes orthogonal to the fibres is a contact...
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Reduction of Fibrations of a Grassmann-Like Manifold of Centered Planes Under Normalization
In the projective space P n , we consider the Grassmann-like manifold Gr ∗ ( m, n ) of centered planes and the associated principal fibration. We perform...
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Mould Squares and Effective Fibrations
In this chapter, we connect the two algebraic weak factorisation systems coming from a dominance and a Moore structure to define the notion of...
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Fibrations by Affine Lines on Rational Affine Surfaces with Irreducible Boundaries
We consider fibrations by affine lines on smooth affine surfaces obtained as complements of smooth rational curves B in smooth projective surfaces X...
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CYLINDERS IN WEAK DEL PEZZO FIBRATIONS
In this article, we shall look into the existence of vertical cylinders contained in a weak del Pezzo fibration as a generalization of the former...
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Great circle fibrations and contact structures on the 3-sphere
Given any smooth fibration of the unit 3-sphere by great circles, we show that the distribution of 2-planes orthogonal to the great circle fibres is...
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On the slope stability of the cotangent bundles of Weierstrass fibrations
We provide a full classification of the slope stability of the cotangent bundles of relatively minimal smooth Weierstrass fibrations. The...
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Analytic torsion forms for fibrations by projective curves
An explicit formula for analytic torsion forms for fibrations by projective curves is given. In particular one obtains a formula for direct images in...
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Completions of the affine 3-space into del Pezzo fibrations
We give constructions of completions of the affine 3-space into total spaces of del Pezzo fibrations of every degree other than 7 over the projective...
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Invariants of Coverings of Serre Fibrations
AbstractThe category of coverings of a given Serre fibration is studied. A covering map of one such fibration onto another is understood as a...
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Effective Kan Fibrations in Simplicial Sets
This book introduces the notion of an effective Kan fibration, a new mathematical structure which can be used to study simplicial homotopy theory....
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Finite Quotients of Surface Braid Groups and Double Kodaira Fibrations
Let \(\Sigma _b\) be a closed Riemann surface of genus b. We give an...
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