Cohomology of loop spaces of Hermitian symmetric spaces of classical types

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• 作者：Younggi Choi ; ^{yochoi@snu.ac.kr}
• 关键词：55R20 ; 55T10 ; 55T20
• 刊名：Topology and its Applications
• 出版年：2013
• 出版时间：1 February, 2013
• 年：2013
• 卷：160
• 期：2
• 页码：280-291
• 全文大小：211 K

文摘

We study the mod p cohomology of loop spaces and free loop spaces of irreducible compact Hermitian symmetric spaces of classical types. We also prove that the integral cohomology of loop spaces of them is torsion free, or has only 2-torsion of order 2.