Mahender Singh

activity

20072021

most citedAutomorphism groups of quandles arising from groups

24 citations · 182 across the 31 of their papers we have counts for

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11 papers · 1 filter

math.AT2018★ 13 cited

Free actions of some compact groups on Milnor manifolds

Pinka Dey, Mahender Singh

In this paper, we investigate free actions of some compact groups on cohomology real and complex Milnor manifolds. More precisely, we compute the mod 2 cohomology algebra of the or…

math.AT2017★ 1 cited

Some remarks on the parametrized Borsuk-Ulam theorem

Michael Crabb, Mahender Singh

Given a locally trivial fibre bundle $E \to B$ (with fibres and base finite complexes), an orthogonal real line bundle $λ$ over $E$ and a real vector bundle $ξ$ over $B$ , we consid…

math.AT2017

Equivariant maps between representation spheres

Zbigniew Błaszczyk, Wacław Marzantowicz, Mahender Singh

Let $G$ be a compact Lie group. We prove that if $V$ and $W$ are orthogonal $G$ -representations such that $V^{G} = W^{G} = {0}$ , then a $G$ -equivariant map $S (V) \to S (W)$ exists provide…

math.AT2015★ 5 cited

General Bourgin-Yang theorems

Zbigniew Błaszczyk, Wacław Marzantowicz, Mahender Singh

We describe a unified approach to estimating the dimension of $f^{- 1} (A)$ for any $G$ -equivariant map $f : X \to Y$ and any closed $G$ -invariant subset $A \subseteq Y$ in terms…

math.AT2013★ 3 cited

Free 2-rank of symmetry of products of Milnor manifolds

Mahender Singh

A real Milnor manifold is the non-singular hypersurface of degree $(1, 1)$ in the product of two real projective spaces. These manifolds were introduced by Milnor to give generators…

math.AT2010★ 1 cited

A simple proof of the Borsuk-Ulam theorem for Z_p-actions

Mahender Singh

In this note, we give a simple proof of the Borsuk-Ulam theorem for $Z_{p}$ -actions. We prove that, if $S^{n}$ and $S^{m}$ are equipped with free $Z_{p}$ -actions (p prime) and $f: S^n \to…

math.AT2010★ 13 cited

Orbit spaces of free involutions on the product of two projective spaces

Mahender Singh

Let $X$ be a finitistic space having the mod 2 cohomology algebra of the product of two projective spaces. We study free involutions on $X$ and determine the possible mod 2 cohomol…

math.AT2008★ 9 cited

Parametrized Borsuk-Ulam problem for projective space bundles

Mahender Singh

Let $π : E \to B$ be a fiber bundle with fiber having the mod 2 cohomology algebra of a real or a complex projective space and let $π^{^{'}} : E^{^{'}} \to B$ be vector bundle such that $\…

math.AT2008

Cohomology algebra of orbit spaces of free involutions on lens spaces

Mahender Singh

Let $G$ be a group acting continuously on a space $X$ and let $X / G$ be its orbit space. Determining the topological or cohomological type of the orbit space $X / G$ is a classical pr…

math.AT2007★ 2 cited

Fixed points of circle actions on spaces with rational cohomology of $S^{n} V S^{2 n} V S^{3 n}$ or $P^{2} (n) V S^{3 n}$

Mahender Singh

Let $X$ be a finitistic space with its rational cohomology isomorphic to that of the wedge sum $P^{2} (n) \lor S^{3 n}$ or $S^{n} \lor S^{2 n} \lor S^{3 n}$ . We study continuous $\mathbb{…

math.AT2007★ 4 cited

Z_2 actions on complexes with three non-trivial cells

Mahender Singh

In this paper, we study $Z_{2}$ actions on a cell complex X having the cohomology ring isomorphic to that of the wedge sum $P^{2} (n) V S^{3 n}$ or $S^{n} V S^{2 n} V S^{3 n}$ . We determine…

Free actions of some compact groups on Milnor manifolds

Some remarks on the parametrized Borsuk-Ulam theorem

Equivariant maps between representation spheres

General Bourgin-Yang theorems

Free 2-rank of symmetry of products of Milnor manifolds

A simple proof of the Borsuk-Ulam theorem for Z_p-actions

Orbit spaces of free involutions on the product of two projective spaces

Parametrized Borsuk-Ulam problem for projective space bundles

Cohomology algebra of orbit spaces of free involutions on lens spaces

Fixed points of circle actions on spaces with rational cohomology of SnVS2nVS3n or P2(n)VS3n

Z_2 actions on complexes with three non-trivial cells

Fixed points of circle actions on spaces with rational cohomology of $S^{n} V S^{2 n} V S^{3 n}$ or $P^{2} (n) V S^{3 n}$