On self-maps of complex flag manifolds

被引：0

作者：

Milicevic, Matej ^{[1
]}

Radovanovic, Marko ^{[1
]}

机构：

[1] Univ Belgrade, Fac Math, Studentski trg 16, Belgrade, Serbia

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2023年 / 25卷 / 01期

关键词：

Complex flag manifolds; noncoincidence index; endomorphisms; cohomology; rational homotopy; NONCOINCIDENCE INDEX; COHOMOLOGY;

D O I：

10.1007/s11784-022-01013-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It was conjectured in Glover (Trans Am Math Soc 267:423- 434, 1981) that for a complex flag manifold F every endomorphism (sic) : H-& lowast;(F; Z) -> H-& lowast;(F; Z) is either a grading endomorphism or a projective endomorphism. In this paper, we verify this conjecture for a new class of complex flag manifolds that captures all cases for which the conjecture was previously known to be true. This allows us to calculate the noncoincidence index (invariant that naturally generalizes the fixed-point property) for these manifolds.

引用

页数：24

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