scholarly journals A topological proof of the Shapiro–Shapiro conjecture

2021 ◽  
Author(s):  
Jake Levinson ◽  
Kevin Purbhoo
Keyword(s):  
Topological Proof

SECOND COHOMOLOGY OF COMPACT HOMOGENEOUS SPACES

2013 ◽  
Vol 24 (09) ◽  
pp. 1350076 ◽  
Author(s):  
INDRANIL BISWAS ◽  
PRALAY CHATTERJEE
Keyword(s):  
Lie Group ◽  
Homogeneous Spaces ◽  
Nilpotent Orbits ◽  
Topological Proof

In Theorem 3.3 of [I. Biswas and P. Chatterjee, On the exactness of Kostant–Kirillov form and the second cohomology of nilpotent orbits, Int. J. Math.23(8) (2012)], the second cohomology of a quotient of a compact semisimple real Lie group was computed. In this addendum to the above paper, we give a simple topological proof of this theorem.

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