M. Mandal

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20242026

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math.AT2026

Degrees of Maps between Generalized Dold Manifolds

Manas Mandal

We study the existence of maps of nonzero Brouwer degree between two orientable, equal-dimensional generalized Dold manifolds (GDMs) fibered by complex partial flag manifolds over…

math.AT2026

Degrees of Maps and Cohomological Rigidity of Partial Flag Manifolds

Manas Mandal

We study the existence of continuous maps with nonzero Brouwer degree between partial flag manifolds. We prove that every continuous map between distinct complex or quaternionic pa…

math.AT2025

Rigidity of cohomology automorphisms of homogeneous spaces and coincidence theory

Manas Mandal, Divya Setia

We obtain a rigidity phenomena of rational cohomology automorphisms of certain homogeneous spaces, in the presence of external cohomology classes arising from spaces with trivial c…

math.AT2024

Cohomology and K-theory of generalized Dold manifolds fibred by complex flag manifolds

Manas Mandal, Parameswaran Sankaran

Let $ν = (n_{1}, \dots, n_{s}), s \geq 2,$ be a sequence of positive integers and let $n = \sum_{1 \leq j \leq s} n_{j}$ . Let $C G (ν) = U (n) / (U (n_{1}) \times \dots \times U (n_{s}))$ be the complex…