Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Bahri, Anthony"'
We define bigraded persistent homology modules and bigraded barcodes of a finite pseudo-metric space X using the ordinary and double homology of the moment-angle complex associated with the Vietoris-Rips filtration of X. We prove a stability theorem
Externí odkaz:
http://arxiv.org/abs/2303.14694
The simplicial wedge construction on simplicial complexes and simple polytopes has been used by a variety of authors to study toric and related spaces, including non-singular toric varieties, toric manifolds, intersections of quadrics and more genera
Externí odkaz:
http://arxiv.org/abs/1801.04094
The CW structure of certain spaces, such as effective orbifolds, can be too complicated for computational purposes. In this paper we use the concept of $\mathbf{q}$-CW complex structure on an orbifold, to detect torsion in its integral cohomology. Th
Externí odkaz:
http://arxiv.org/abs/1711.01748
Publikováno v:
Algebr. Geom. Topol. 17 (2017) 3779-3810
We examine the integral cohomology rings of certain families of $2n$-dimensional orbifolds $X$ that are equipped with a well-behaved action of the $n$-dimensional real torus. These orbifolds arise from two distinct but closely related combinatorial s
Externí odkaz:
http://arxiv.org/abs/1509.03228
Publikováno v:
Osaka J. Math. 51 (2014), 89-121
For any (n+1)-dimensional weight vector {\chi} of positive integers, the weighted projective space P(\chi) is a projective toric variety, and has orbifold singularities in every case other than CP^n. We study the algebraic topology of P(\chi), paying
Externí odkaz:
http://arxiv.org/abs/1109.2359
Publikováno v:
Fund. Math. 220 (2013), 217-226
We obtain two classifications of weighted projective spaces; up to homeomorphism and up to homotopy equivalence. We show that the former coincides with Al Amrani's classification up to isomorphism of algebraic varieties, and deduce the latter by prov
Externí odkaz:
http://arxiv.org/abs/1108.1938
Publikováno v:
Math. Proc. Camb. Phil. Soc. 146 (2009), 395-405
We describe the integral equivariant cohomology ring of a weighted projective space in terms of piecewise polynomials, and thence by generators and relations. We deduce that the ring is a perfect invariant, and prove a Chern class formula for weighte
Externí odkaz:
http://arxiv.org/abs/0708.1581
Autor:
Bahri, Anthony, Bendersky, Martin
We use the Adams spectral sequence to compute the KO-theory of all toric manifolds and certain singular toric varieties.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/math/9904087
Autor:
Bahri, Anthony, Bendersky, Martin
Publikováno v:
Transactions of the American Mathematical Society, 2000 Mar 01. 352(3), 1191-1202.
Externí odkaz:
https://www.jstor.org/stable/118106
Autor:
Allard, Jacques, Bahri, Anthony
Publikováno v:
Transactions of the American Mathematical Society, 1982 Nov 01. 274(1), 193-202.
Externí odkaz:
https://www.jstor.org/stable/1999504