Zobrazeno 1 - 10
of 976
pro vyhledávání: '"57R20"'
Autor:
Sadovek, Nikola, Schutte, Baylee
We study linearly independent complex line fields on almost-complex manifolds, which is a topic of long-standing interest in differential topology and complex geometry. A necessary condition for the existence of such fields is the vanishing of approp
Externí odkaz:
http://arxiv.org/abs/2411.14161
Autor:
Liu, Yi
Let $M$ be an oriented closed hyperbolic $3$--manifold. Suppose that $w$ is a rational second cohomology class of $M$ with dual Thurston norm $1$. Upon the existence of certain nonvanishing Alexander polynomials, the author shows that the pullback of
Externí odkaz:
http://arxiv.org/abs/2411.11492
Autor:
Costenoble, Steven R., Hudson, Thomas
We calculate the ordinary $C_2$-cohomology of $BT^2$ with Burnside ring coefficients, using an extended grading that allows us to capture a more natural set of generators. We discuss how this cohomology is related to those of $BT^1$ and $BU(2)$, calc
Externí odkaz:
http://arxiv.org/abs/2411.06470
Autor:
Sharma, Shubham, Renanse, Animesh
A space $X$ is said to be $C$-trivial if the total Chern class $c(\alpha)$ equals $1$ for every complex vector bundle $\alpha$ over $X$. In this note we give a complete homological classification of $C$-trivial closed smooth manifolds of dimension $<
Externí odkaz:
http://arxiv.org/abs/2411.05558
Autor:
Podder, Sudeep, Sau, Gobinda
In this article, we introduce the notion of $\mathcal P$-triviality of topological manifolds and give a complete description of the $\mathcal P$-triviality of stunted real and complex projective spaces.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2409.17102
Autor:
Li, Ping, Lin, Wangyang
We employ combinatorial techniques to present an explicit formula for the coefficients in front of Chern classes involving in the Hattori-Stong integrability conditions. We also give an evenness condition for the signature of stably almost-complex ma
Externí odkaz:
http://arxiv.org/abs/2409.05107
Autor:
Li, Hui
We use the Boothby-Wang fibration to construct certain simply connected K-contact manifolds and we give sufficient and necessary conditions on when such K-contact manifolds are homeomorphic to the odd dimensional spheres. For the symplectic base mani
Externí odkaz:
http://arxiv.org/abs/2406.10866
Autor:
Benoist, Olivier, Wittenberg, Olivier
We construct and study relations between Chern classes and Galois cohomology classes in the Gal(C/R)-equivariant cohomology of real algebraic varieties with no real points. We give applications to the topology of their sets of complex points, and to
Externí odkaz:
http://arxiv.org/abs/2405.11603
Autor:
Panina, Gaiane, Živaljević, Rade
The classic Ky Fan theorem is a combinatorial equivalent of Borsuk-Ulam theorem. It is a generalization and extension of Tucker's lemma and, just like its predecessor, it pinpoints important properties of antipodal colorings of vertices of a triangul
Externí odkaz:
http://arxiv.org/abs/2404.04806
Autor:
Kundu, Bikramjit, Podder, Sudeep
We compute the upper characteristic rank of the projective Stiefel manifolds over $\mathbb R, \mathbb C$ and $\mathbb H$ and of the flip Stiefel manifolds. We provide bounds for the cup lengths of these spaces. We also provide necessary conditions fo
Externí odkaz:
http://arxiv.org/abs/2403.14207