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2016 Fiscal Year Final Research Report

Toward the theory of complexity one GKM manifolds

Research Project

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Project/Area Number 15K17531
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Geometry
Research InstitutionOkayama University of Science (2016)
The University of Tokyo (2015)

Principal Investigator

Kuroki Shintaro  岡山理科大学, 理学部, 准教授 (90433309)

Project Period (FY) 2015-04-01 – 2017-03-31
KeywordsGKM多様体 / 複雑性1のトーラス作用 / 群の作用の拡張
Outline of Final Research Achievements

We have obtained the following results about complexity one GKM manifolds:
(1)Classification of GKM manifolds over the complete graph with 4-vertices K4, (2)Construction of the invariant about an extension of bigger torus actions, (3) Classification of complexity one GKM manifolds with the exceptional Lie group G2 and A2-type Lie group extended actions, (4) Equivariant cohomology ring of torus orbifolds (joint work with Darby and Song), (5) Topology of flagged Bott tower (joint work with Lee, Song Suh).

Free Research Field

トーリックトポロジー

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Published: 2018-03-22  

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