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of 20
pro vyhledávání: '"Brahma, Koushik"'
LS-category and topological complexity of real torus manifolds and Dold manifolds of real torus type
The real torus manifolds are a generalization of small covers and generalized real Bott manifolds. We compute the LS-category of these manifolds under some constraints and obtain sharp bounds on their topological complexities. We obtain a simplified
Externí odkaz:
http://arxiv.org/abs/2401.06680
Autor:
Brahma, Koushik
In this paper, we introduce `Pl\"{u}cker weight vector' and establish the definition of a weighted Grassmann orbifold $\mbox{Gr}_{\mathbf{b}}(k,n)$, corresponding to a Pl\"{u}cker weight vector `$\mathbf{b}$'. We achieve an explicit classification of
Externí odkaz:
http://arxiv.org/abs/2307.01153
In this paper, we compute the LS-category and equivariant LS-category of a small cover and its real moment angle manifold. We calculate a tight lower bound for the topological complexity of many small covers over a product of simplices. Then we compu
Externí odkaz:
http://arxiv.org/abs/2306.00916
Autor:
Brahma, Koushik, Sarkar, Soumen
In this paper, we define `simplicial GKM orbifold complexes' and study some of their topological properties. We introduce the concept of filtration of regular graphs and `simplicial graph complexes', which have close relations with simplicial GKM orb
Externí odkaz:
http://arxiv.org/abs/2302.09581
Toric orbifolds are a generalization of simplicial projective toric varieties. In this paper, we show that there is a resolution of singularities of a toric orbifold. In a different category, the class of quasi-contact toric manifolds contains the cl
Externí odkaz:
http://arxiv.org/abs/2203.09449
Publikováno v:
In Topology and its Applications 1 July 2024 352
Autor:
Brahma, Koushik, Sarkar, Soumen
We introduce a new definition of weighted Grassmann orbifolds. We study their several invariant $q$-cell structures and the orbifold singularities on these $q$-cells. We discuss when the integral cohomology of a weighted Grassmann orbifold has no $p$
Externí odkaz:
http://arxiv.org/abs/2104.10374
In this paper, we introduce polytopal $k$-wedge construction and blowdown of a simple polytope and inspect the effect on the retraction sequence of a simple polytope due to $k$-wedge construction and blowdown. In relation to this construction, we int
Externí odkaz:
http://arxiv.org/abs/1912.07047
Publikováno v:
In Topology and its Applications 15 May 2021 295
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