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Given a manifold M with a submanifold N, the deformation space D(M,N) is a manifold with a submersion to R whose zero fiber is the normal bundle, and all other fibers are equal to M. This article uses deformation spaces to study the local…

Differential Geometry · Mathematics 2020-02-19 Francis Bischoff , Henrique Bursztyn , Hudson Lima , Eckhard Meinrenken

In this paper we study a special class of fibrations on Delsarte surfaces. We call these fibrations Delsarte fibrations. We show that after a specific cyclic base change the fibration is the pull back of a fibration with three singular…

Algebraic Geometry · Mathematics 2024-10-22 Bas Heijne , Remke Kloosterman

Vector fields with components which are generalized zero-forms are constructed. Inner products with generalized forms, Lie derivatives and Lie brackets are computed. The results are shown to generalize previously reported results for…

Mathematical Physics · Physics 2013-09-19 D. C. Robinson

We study the existence problem and the enumeration problem for sections of Serre fibrations over compact orientable surfaces. When the fundamental group of the fiber is finite, a complete solution is given in terms of 2-dimensional…

Geometric Topology · Mathematics 2009-04-20 Vladimir Turaev

In this paper we survey some finiteness results of the deformation classes of hyperk\"ahler Lagrangian fibrations, and we prove finiteness for stable Lagrangian fibrations with a given discriminant divisor.

Algebraic Geometry · Mathematics 2024-03-12 Ljudmila Kamenova

We prove the existence of minimal models for fibrations between dendroidal sets in the model structure for infinity-operads, as well as in the covariant model structure for algebras and in the stable one for connective spectra. In an…

Algebraic Topology · Mathematics 2016-12-21 Ieke Moerdijk , Joost Nuiten

We proof here the existence of a topological thick and thin decomposition of any closed definable thick isolated singularity germ in the spirit of the recently discovered metric thick and thin decomposition of complex normal surface…

Metric Geometry · Mathematics 2012-08-22 Lev Birbrair , Alexandre Fernandes , Vincent Grandjean

We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gauss-Manin system associated to these functions, and prove the existence of a primitive and homogenous form. As a consequence, we show…

Algebraic Geometry · Mathematics 2019-02-20 Ignacio de Gregorio , David Mond , Christian Sevenheck

We develop the theory of CW(A)-complexes, which generalizes the classical theory of CW-complexes, keeping the geometric intuition of J.H.C. Whitehead's original theory. We obtain this way generalizations of classical results, such as…

Algebraic Topology · Mathematics 2007-05-23 Gabriel Minian , Miguel Ottina

This paper describes a generalization of decomposition in orbifolds. In general terms, decomposition states that two-dimensional orbifolds and gauge theories whose gauge groups have trivially-acting subgroups decompose into disjoint unions…

High Energy Physics - Theory · Physics 2021-10-28 Daniel Robbins , Eric Sharpe , Thomas Vandermeulen

We define and study complex structures and generalizations on spaces consisting of geodesics or harmonic maps that are compatible with the symmetries of these spaces. The main results are about existence and uniqueness of such structures.

Differential Geometry · Mathematics 2019-01-14 László Lempert

A few formulas and theorems for statistical structures are proved. They deal with various curvatures as well as with metric properties of the cubic form or its covariant derivative. Some of them generalize formulas and theorems known in the…

Differential Geometry · Mathematics 2021-05-12 Barbara Opozda

Recently there has been a lot of research and progress in profinite groups. We survey some of the new results and discuss open problems. A central theme is decompositions of finite groups into bounded products of subsets of various kinds…

Group Theory · Mathematics 2012-02-23 Nikolay Nikolov

This paper is devoted to study the birational properties of the Albanese map. I generalize a theorem of Kawamata to tell when the Albanese map is surjective and when it is an algebraic fiber space.

Algebraic Geometry · Mathematics 2010-10-25 Zhi Jiang

In this paper we present new results about the topology of the Milnor fibrations of analytic function-germs with a special attention to the topology of the fibers. In particular, we provide a short review on the existence of the Milnor…

Algebraic Geometry · Mathematics 2022-12-08 Taciana O. Souza , Cesar A. Ipanaque Zapata

In this paper we study the property of separability of functional space with the open-point and bi-point-open topologies.

General Topology · Mathematics 2016-02-15 Alexander V. Osipov

In aperiodic order, non-periodic but "ordered" objects such as tilings, Delone sets, functions and measures are investigated. In this article we depict the common structure of these objects by using the general framework of abstract pattern…

Metric Geometry · Mathematics 2018-11-13 Yasushi Nagai

In this article we study deformations of a holomorphic foliation with a generic non-rational first integral in the complex plane. We consider two vanishing cycles in a regular fiber of the first integral with a non-zero self intersection…

Classical Analysis and ODEs · Mathematics 2014-02-26 Hossein Movasati , Isao Nakai

We examine some of the subtleties inherent in formulating a theory of spinors on a manifold with a smooth degenerate metric. We concentrate on the case where the metric is singular on a hypersurface that partitions the manifold into…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J Schray , T Dray , C A Manogue , R W Tucker , C Wang

Intervals in binary or n-ary relations or other discrete structures generalize the concept of interval in a linearly ordered set. Join-irreducible partitions into intervals are characterized in the lattice of all interval decompositions of…

Combinatorics · Mathematics 2019-07-23 S. Foldes , S. Radeleczki
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