Results 41 to 50 of about 1,001 (184)
Stabilization of Poincaré duality complexes and homotopy gyrations
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabilization for connected manifolds. This paper generalizes that work by developing new methods that allow for a generalization to stabilization of Poincaré duality ...
Ruizhi Huang, Stephen Theriault
wiley +1 more source
The Milnor number of a hypersurface singularity in arbitrary characteristic
, 2015 The Milnor number of an isolated hypersurface singularity, defined as the codimension $\mu(f)$ of the ideal generated by the partial derivatives of a power series $f$ whose zeros represent locally the hypersurface, is an important topological invariant ...
Hefez, Abramo +2 more
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The fundamental group of the complement of a generic fiber‐type curve
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
wiley +1 more source
, 2021 https://rdc.reed.edu/v1/resources/d5b2be24-81b7-4aca-8e09-8eaa58ea2c91/thumb/128.jpgIn this thesis, we look at a new generalization of the classical Milnor number that draws on tools from A¹-homotopy theory, known as the A¹-Milnor number.
Hafeez, Muhammad Usman
core
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
On topological invariance of the milnor number mod 2
Topology, 1993 Let \(f=(f_ 1,\dots,f_ n)\): \((\mathbb{R}^ n,0)\to (\mathbb{R}^ p,0 ...
Dudziński, P. +3 more
openaire +2 more sources
Local equivalence and refinements of Rasmussen's s‐invariant
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield +2 more
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Families of singular algebraic varieties that are rationally elliptic spaces
Mathematische Nachrichten, Volume 299, Issue 1, Page 214-223, January 2026.Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
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On higher Jacobians, Laplace equations, and Lefschetz properties
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida +2 more
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, 1999 We show that any knot or link can arise as the real part of the Milnor fibre in a flat deformation of an appropriate space curve singularity.
Mond, David, van Straten, Duco
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