M. Mandal

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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.AT2026

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 $I^½ = (n_{1}, \dots, n_{s}), s \geq 2,$ be a sequence of positive integers and let $n = \sum_{1 \leq j \leq s} n_{j}$ . Let $C G (I^½) = U (n) / (U (n_{1}) \times \dots \times U (n_{s}))$ be the comple…