Torus actions on cohomological complex projective spaces
Torus actions on cohomological complex projective spaces
In this note, we will compute the Pontrjagin classes of those topological manifolds which have the same rational cohomology algebra as <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C upper P Superscript n"> <mml:semantics> <mml:mrow> <mml:mi>C</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>P</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> </mml:mrow> <mml:annotation encoding="application/x-tex">C{P^n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and which admit …