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https://research.matf.bg.ac.rs/handle/123456789/1393| Title: | On self-maps of complex flag manifolds | Authors: | Milićević, Matej Radovanović, Marko |
Affiliations: | Algebra and Mathematical Logic Algebra and Mathematical Logic |
Keywords: | cohomology;Complex flag manifolds;endomorphisms;noncoincidence index;rational homotopy | Issue Date: | 1-Feb-2023 | Rank: | M21 | Publisher: | Springer | Journal: | Journal of Fixed Point Theory and Applications | Abstract: | It was conjectured in Glover (Trans Am Math Soc 267:423–434, 1981) that for a complex flag manifold F every endomorphism φ: H∗(F; Z) → H∗(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. |
Description: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s11784-022-01013-z |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1393 | ISSN: | 16617738 | DOI: | 10.1007/s11784-022-01013-z |
| Appears in Collections: | Research outputs |
Files in This Item:
| File | Description | Size | Format | Existing users please |
|---|---|---|---|---|
| On self-maps of flags.pdf | 435.21 kB | Adobe PDF | Request a copy |
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