Results 51 to 60 of about 45,702 (171)

Which singular tangent bundles are isomorphic?

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley   +1 more source

Cohomology and Intersection Cohomology of Complex Hyperplane Arrangements

Advances in Mathematics, 1993
The author considers an arrangement \(\mathcal A\) of hyperplanes in \(\mathbb{C}^ d\). He computes the cohomology of a perverse sheaf \({\mathbf P}^ \bullet\) on \(\mathbb{C}^ d\) which is constructible with respect to the stratification determined by \(\mathcal A\) (call \(X\) this stratified space). He constructs a differential complex \({\mathbf K}^
openaire   +2 more sources

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

One-loop double copy relation from twisted (co)homology

Journal of High Energy Physics
We propose a geometric relation between closed and open string amplitudes at one-loop. After imposing a homological splitting on the world-sheet torus, twisted intersection theory is used to establish a one-loop double copy relation. The latter expresses
Pouria Mazloumi, Stephan Stieberger
doaj   +1 more source

Vanishing of intersection numbers on the moduli space of Higgs bundles

, 1998
In this paper we consider the topological side of a problem which is the analogue of Sen's S-duality testing conjecture for Hitchin's moduli space of rank 2 stable Higgs bundles of fixed determinant of odd degree over a Riemann surface. We prove that all
Hausel, Tamas
core   +3 more sources

Automorphism and cohomology II: Complete intersections

International Journal of Mathematics
We prove that the automorphism group of a general complete intersection [Formula: see text] in [Formula: see text] is trivial with a few well-understood exceptions. We also prove that the automorphism group of a complete intersection [Formula: see text] acts on the cohomology of [Formula: see text] faithfully with a few well-understood exceptions.
Xi Chen, Xuanyu Pan, Dingxin Zhang
openaire   +4 more sources

INTERSECTION COHOMOLOGY, MONODROMY AND THE MILNOR FIBER [PDF]

International Journal of Mathematics, 2009
We say that a complex analytic space, X, is an intersection cohomology manifold if and only if the shifted constant sheaf on X is isomorphic to intersection cohomology; with field coefficients, this is quickly seen to be equivalent to X being a homology manifold. Given an analytic function f on an intersection cohomology manifold, we describe a simple
openaire   +3 more sources

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Rational Surfaces with Anticanonical Divisor not Reduced

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
We prove the finite generation of the monoid of effective divisor classes on a smooth projective rational surface X endowed with an anticanonical divisor such that all its irreducible components are of multiplicity one except one which has multiplicity ...
Rodriguez Jesús Adrian Cerda, Lahyane Mustapha, Osuna-Castro Osvaldo, Failla Gioia, Moreno-Mejia Israel   +4 more
doaj   +1 more source

$L^\infty$ cohomology is intersection cohomology

, 2009
Let $X$ be any subanalytic compact pseudomanifold. We show a De Rham theorem for $L^\infty$ forms. We prove that the cohomology of $L^\infty$ forms is isomorphic to intersection cohomology in the maximal perversity.
openaire   +4 more sources