Zobrazeno 1 - 10
of 244
pro vyhledávání: '"57N80"'
Autor:
Banagl, Markus
We construct an equivariant L-class for orientation preserving actions of a compact Lie group on a Whitney stratified compact oriented pseudomanifold that satisfies the Witt condition, for example on a compact pure-dimensional complex algebraic varie
Externí odkaz:
http://arxiv.org/abs/2412.13768
Autor:
Fujioka, Tadashi
We prove that the extremal stratification of an Alexandrov space by Perelman-Petrunin is a CS stratification in the sense of Siebenmann. We also show that every space of directions of an Alexandrov space without proper extremal subsets is homeomorphi
Externí odkaz:
http://arxiv.org/abs/2404.14587
We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factoriz
Externí odkaz:
http://arxiv.org/abs/2403.19472
Fr\'echet means of samples from a probability measure $\mu$ on any smoothly stratified metric space M with curvature bounded above are shown to satisfy a central limit theorem (CLT). The methods and results proceed by introducing and proving analytic
Externí odkaz:
http://arxiv.org/abs/2311.09455
Variation of empirical Fr\'echet means on a metric space with curvature bounded above is encoded via random fields indexed by unit tangent vectors. A central limit theorem shows these random tangent fields converge to a Gaussian such field and lays t
Externí odkaz:
http://arxiv.org/abs/2311.09454
Any measure $\mu$ on a CAT(k) space M that is stratified as a finite union of manifolds and has local exponential maps near the Fr\'echet mean $\bar\mu$ yields a continuous "tangential collapse" from the tangent cone of M at $\bar\mu$ to a vector spa
Externí odkaz:
http://arxiv.org/abs/2311.09453
Brasselet, the second author and Yokura introduced Hodge-theoretic Hirzebruch-type characteristic classes $IT_{1, \ast}$, and conjectured that they are equal to the Goresky-MacPherson $L$-classes for pure-dimensional compact complex algebraic varieti
Externí odkaz:
http://arxiv.org/abs/2310.15042
This paper generalises the homeomorphism theorem behind Viro's combinatorial patchworking of hypersurfaces in toric varieties to arbitrary codimension using tropical geometry. We first define the patchwork of a polyhedral space equipped with a real p
Externí odkaz:
http://arxiv.org/abs/2310.08313
Autor:
Banagl, Markus
Integrally oriented normally nonsingular maps between singular spaces have associated transfer homomorphisms on KO-homology at odd primes. We prove that such transfers preserve Siegel-Sullivan orientations, defined when the singular spaces are compac
Externí odkaz:
http://arxiv.org/abs/2305.06045
Publikováno v:
Proceedings Amer. Math. Soc. 152 (2024) n{\deg}3 pp. 1319-1332
Intersection homology of Goresky and MacPherson can be defined from the Deligne sheaf, obtained from truncations of complexes of sheaves. As intersection homology is not the homology of a particular space, the search for a family of spaces whose homo
Externí odkaz:
http://arxiv.org/abs/2304.14983