Zobrazeno 1 - 10
of 74
pro vyhledávání: '"PUPPE, VOLKER"'
Publikováno v:
Forum Math. 33 (2021), 547-567
We develop a theory of syzygies in equivariant cohomology for tori as well as $p$-tori and coefficients in $\mathbb{F}_p$. A noteworthy feature is a new algebraic approach to the partial exactness of the Atiyah-Bredon sequence, which also covers all
Externí odkaz:
http://arxiv.org/abs/2007.00496
Autor:
Puppe, Volker
We consider closed manifolds, which occur as intersections of products of spheres of the same dimension with certain hyperplanes. Among those are the so called (big) polygon- and chain spaces. The equivariant cohomology with respect to natural action
Externí odkaz:
http://arxiv.org/abs/1512.09064
Publikováno v:
Algebr. Geom. Topol. 14 (2014) 1339-1375
We prove a Poincare-Alexander-Lefschetz duality theorem for rational torus-equivariant cohomology and rational homology manifolds. We allow non-compact and non-orientable spaces. We use this to deduce certain short exact sequences in equivariant coho
Externí odkaz:
http://arxiv.org/abs/1303.1146
Publikováno v:
Trans. Amer. Math. Soc. 366 (2014), 6567-6589
Let X be a "nice" space with an action of a torus T. We consider the Atiyah-Bredon sequence of equivariant cohomology modules arising from the filtration of X by orbit dimension. We show that a front piece of this sequence is exact if and only if the
Externí odkaz:
http://arxiv.org/abs/1111.0957
Autor:
Puppe, Volker
We use the multiplicative structure of the Koszul resolution to give short and simple proofs of some known estimates for the total dimension of the cohomology of spaces which admit free torus actions and analogous results for filtered differential mo
Externí odkaz:
http://arxiv.org/abs/0811.3517
Autor:
Franz, Matthias, Puppe, Volker
Publikováno v:
pp. 87-98 in: M. Harada et al. (eds.), Toric Topology (Osaka, 2006), Contemp. Math. 460, 2008
We survey generalisations of the Chang-Skjelbred Lemma for integral coefficients. Moreover, we construct examples of manifolds with actions of tori of rank > 2 whose equivariant cohomology is torsion-free, but not free. This answers a question of All
Externí odkaz:
http://arxiv.org/abs/0710.2302
Autor:
Kreck, Matthias, Puppe, Volker
We study a correspondence between orientation reversing involutions on compact 3-manifolds with only isolated fixed points and binary, self-dual codes. We show in particular that every such code can be obtained from such an involution. We further rel
Externí odkaz:
http://arxiv.org/abs/0707.1599
Autor:
Puppe, Volker
This note is surveying certain aspects (including recent results) of the following problem stated by F.Raymond and R.Schultz: ''It is generally felt that a manifold 'chosen at random' will have little symmetry. Can this intuitive notion be made more
Externí odkaz:
http://arxiv.org/abs/math/0606714
Autor:
Franz, Matthias, Puppe, Volker
Publikováno v:
C. R. Acad. Sci. Paris, Ser. I 342 (2006), 187-190
We prove that the coefficients of the so-called conjugation equation for conjugation spaces in the sense of Hausmann-Holm-Puppe are completely determined by Steenrod squares. This generalises a result of V.A. Krasnov for certain complex algebraic var
Externí odkaz:
http://arxiv.org/abs/math/0510157
Autor:
Franz, Matthias, Puppe, Volker
Publikováno v:
Transformation Groups 12 (2007), 65-76
Using methods applied by Atiyah in equivariant K-theory, Bredon obtained exact sequences for the relative cohomologies (with rational coefficients) of the equivariant skeletons of (sufficiently nice) T-spaces, T=(S^1)^n, with free equivariant cohomol
Externí odkaz:
http://arxiv.org/abs/math/0505607