Rigidity of GKM-graphs via 1-ideals

仁 山中; Hitoshi Yamanaka

doi:10.24727/00028985

March 10, 2021Open Access

Rigidity of GKM-graphs via 1-ideals

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Key Points

The aim is to establish the rigidity of GKM-graphs using a new proof approach involving 1-ideals.
Develop an original proof based on the concept of a 1-ideal.
Build on previous work on equivariant cohomological rigidity.
Analyze abstract GKM graphs to draw conclusions on rigidity.
Demonstrates that GKM-graphs exhibit rigidity under the defined conditions.
Verifies that the approach using 1-ideals is valid and aligns with earlier results.

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Implication

Presents a proof of rigidity in GKM-graphs using 1-ideals, indicating foundational results in graph theory.

Abstract

Franz and the author previously proved equivariant cohoomological rigidity for abstract GKM graphs. The present paper gives the author's original proof based on the notion of a 1-ideal.

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山中 et al. (2021) studied this question.

synapsesocial.com/papers/69cd7ab35652765b073a816a https://doi.org/10.24727/00028985

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Rigidity of GKM-graphs via 1-ideals

Key Points

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Implication

Abstract

Discussion

Cite This Study

Rigidity of GKM-graphs via 1-ideals

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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