The torus equivariant cohomology rings of Springer varieties
The Springer variety of type A associated to a nilpotent operator on C n in Jordan canonical form admits a natural action of the ℓ-dimensional torus T ℓ where ℓ is the number of the Jordan blocks. We give a presentation of the T ℓ -equivariant cohomology ring of the Springer variety through an expli...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Abe, Hiraku [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Umfang: |
17 |
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| Übergeordnetes Werk: |
Enthalten in: Frequent mutations in the RPL22 gene and its clinical and functional implications - 2013, a journal devoted to general, geometric, set-theoretic and algebraic topology, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:208 ; year:2016 ; day:1 ; month:08 ; pages:143-159 ; extent:17 |
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| DOI / URN: |
10.1016/j.topol.2016.05.004 |
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| 520 | |a The Springer variety of type A associated to a nilpotent operator on C n in Jordan canonical form admits a natural action of the ℓ-dimensional torus T ℓ where ℓ is the number of the Jordan blocks. We give a presentation of the T ℓ -equivariant cohomology ring of the Springer variety through an explicit construction of an action of the n-th symmetric group on the T ℓ -equivariant cohomology. The T ℓ -equivariant analogue of so-called Tanisaki's ideal will appear in the presentation. | ||
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10.1016/j.topol.2016.05.004 doi GBVA2016006000005.pica (DE-627)ELV035153431 (ELSEVIER)S0166-8641(16)30074-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 610 VZ 44.11 bkl Abe, Hiraku verfasserin aut The torus equivariant cohomology rings of Springer varieties 2016 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The Springer variety of type A associated to a nilpotent operator on C n in Jordan canonical form admits a natural action of the ℓ-dimensional torus T ℓ where ℓ is the number of the Jordan blocks. We give a presentation of the T ℓ -equivariant cohomology ring of the Springer variety through an explicit construction of an action of the n-th symmetric group on the T ℓ -equivariant cohomology. The T ℓ -equivariant analogue of so-called Tanisaki's ideal will appear in the presentation. Tanisaki's ideal Elsevier Springer variety Elsevier Horiguchi, Tatsuya oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:208 year:2016 day:1 month:08 pages:143-159 extent:17 https://doi.org/10.1016/j.topol.2016.05.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 208 2016 1 0801 143-159 17 045F 510 |
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10.1016/j.topol.2016.05.004 doi GBVA2016006000005.pica (DE-627)ELV035153431 (ELSEVIER)S0166-8641(16)30074-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 610 VZ 44.11 bkl Abe, Hiraku verfasserin aut The torus equivariant cohomology rings of Springer varieties 2016 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The Springer variety of type A associated to a nilpotent operator on C n in Jordan canonical form admits a natural action of the ℓ-dimensional torus T ℓ where ℓ is the number of the Jordan blocks. We give a presentation of the T ℓ -equivariant cohomology ring of the Springer variety through an explicit construction of an action of the n-th symmetric group on the T ℓ -equivariant cohomology. The T ℓ -equivariant analogue of so-called Tanisaki's ideal will appear in the presentation. Tanisaki's ideal Elsevier Springer variety Elsevier Horiguchi, Tatsuya oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:208 year:2016 day:1 month:08 pages:143-159 extent:17 https://doi.org/10.1016/j.topol.2016.05.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 208 2016 1 0801 143-159 17 045F 510 |
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10.1016/j.topol.2016.05.004 doi GBVA2016006000005.pica (DE-627)ELV035153431 (ELSEVIER)S0166-8641(16)30074-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 610 VZ 44.11 bkl Abe, Hiraku verfasserin aut The torus equivariant cohomology rings of Springer varieties 2016 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The Springer variety of type A associated to a nilpotent operator on C n in Jordan canonical form admits a natural action of the ℓ-dimensional torus T ℓ where ℓ is the number of the Jordan blocks. We give a presentation of the T ℓ -equivariant cohomology ring of the Springer variety through an explicit construction of an action of the n-th symmetric group on the T ℓ -equivariant cohomology. The T ℓ -equivariant analogue of so-called Tanisaki's ideal will appear in the presentation. Tanisaki's ideal Elsevier Springer variety Elsevier Horiguchi, Tatsuya oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:208 year:2016 day:1 month:08 pages:143-159 extent:17 https://doi.org/10.1016/j.topol.2016.05.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 208 2016 1 0801 143-159 17 045F 510 |
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10.1016/j.topol.2016.05.004 doi GBVA2016006000005.pica (DE-627)ELV035153431 (ELSEVIER)S0166-8641(16)30074-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 610 VZ 44.11 bkl Abe, Hiraku verfasserin aut The torus equivariant cohomology rings of Springer varieties 2016 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The Springer variety of type A associated to a nilpotent operator on C n in Jordan canonical form admits a natural action of the ℓ-dimensional torus T ℓ where ℓ is the number of the Jordan blocks. We give a presentation of the T ℓ -equivariant cohomology ring of the Springer variety through an explicit construction of an action of the n-th symmetric group on the T ℓ -equivariant cohomology. The T ℓ -equivariant analogue of so-called Tanisaki's ideal will appear in the presentation. Tanisaki's ideal Elsevier Springer variety Elsevier Horiguchi, Tatsuya oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:208 year:2016 day:1 month:08 pages:143-159 extent:17 https://doi.org/10.1016/j.topol.2016.05.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 208 2016 1 0801 143-159 17 045F 510 |
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10.1016/j.topol.2016.05.004 doi GBVA2016006000005.pica (DE-627)ELV035153431 (ELSEVIER)S0166-8641(16)30074-8 DE-627 ger DE-627 rakwb eng 510 510 DE-600 610 VZ 610 VZ 44.11 bkl Abe, Hiraku verfasserin aut The torus equivariant cohomology rings of Springer varieties 2016 17 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The Springer variety of type A associated to a nilpotent operator on C n in Jordan canonical form admits a natural action of the ℓ-dimensional torus T ℓ where ℓ is the number of the Jordan blocks. We give a presentation of the T ℓ -equivariant cohomology ring of the Springer variety through an explicit construction of an action of the n-th symmetric group on the T ℓ -equivariant cohomology. The T ℓ -equivariant analogue of so-called Tanisaki's ideal will appear in the presentation. Tanisaki's ideal Elsevier Springer variety Elsevier Horiguchi, Tatsuya oth Enthalten in Elsevier Frequent mutations in the RPL22 gene and its clinical and functional implications 2013 a journal devoted to general, geometric, set-theoretic and algebraic topology Amsterdam [u.a.] (DE-627)ELV011305770 volume:208 year:2016 day:1 month:08 pages:143-159 extent:17 https://doi.org/10.1016/j.topol.2016.05.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_22 GBV_ILN_40 GBV_ILN_62 GBV_ILN_73 GBV_ILN_252 44.11 Präventivmedizin VZ AR 208 2016 1 0801 143-159 17 045F 510 |
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The Springer variety of type A associated to a nilpotent operator on C n in Jordan canonical form admits a natural action of the ℓ-dimensional torus T ℓ where ℓ is the number of the Jordan blocks. We give a presentation of the T ℓ -equivariant cohomology ring of the Springer variety through an explicit construction of an action of the n-th symmetric group on the T ℓ -equivariant cohomology. The T ℓ -equivariant analogue of so-called Tanisaki's ideal will appear in the presentation. |
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The Springer variety of type A associated to a nilpotent operator on C n in Jordan canonical form admits a natural action of the ℓ-dimensional torus T ℓ where ℓ is the number of the Jordan blocks. We give a presentation of the T ℓ -equivariant cohomology ring of the Springer variety through an explicit construction of an action of the n-th symmetric group on the T ℓ -equivariant cohomology. The T ℓ -equivariant analogue of so-called Tanisaki's ideal will appear in the presentation. |
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The Springer variety of type A associated to a nilpotent operator on C n in Jordan canonical form admits a natural action of the ℓ-dimensional torus T ℓ where ℓ is the number of the Jordan blocks. We give a presentation of the T ℓ -equivariant cohomology ring of the Springer variety through an explicit construction of an action of the n-th symmetric group on the T ℓ -equivariant cohomology. The T ℓ -equivariant analogue of so-called Tanisaki's ideal will appear in the presentation. |
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The torus equivariant cohomology rings of Springer varieties |
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