Tatsuya Horiguchi

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All published works

Action	Title	Year	Authors
+	Modular law through GKM theory	2024	Tatsuya Horiguchi Mikiya Masuda Takashi Satō
+	Toric orbifolds associated with partitioned weight polytopes in classical types	2024	Tatsuya Horiguchi Mikiya Masuda John Shareshian Jongbaek Song
+ PDF Chat	The representation of $\mathfrak{S}_n$ on the cohomology of the permutohedral variety and gamma vectors of partitioned permutohedra	2024	Tatsuya Horiguchi Mikiya Masuda Takashi Satō John Shareshian Jongbaek Song
+ PDF Chat	Regular nilpotent partial Hessenberg varieties	2024	Tatsuya Horiguchi
+ PDF Chat	Geometry of Peterson Schubert calculus in type A and left-right diagrams	2024	Hiraku Abe Tatsuya Horiguchi Hideya Kuwata Haozhi Zeng
+ PDF Chat	Toward cohomology rings of intersections of Peterson varieties and Richardson varieties	2024	Tatsuya Horiguchi
+ PDF Chat	Mixed Eulerian Numbers and Peterson Schubert Calculus	2023	Tatsuya Horiguchi
+	Quantization of Peterson's statement in Lie type A	2023	Tatsuya Horiguchi Tomoaki Shirato
+	The cohomology rings of regular nilpotent Hessenberg varieties	2023	Megumi Harada Tatsuya Horiguchi
+	Modular law through GKM theory	2023	Tatsuya Horiguchi Mikiya Masuda Takashi Satō
+ PDF Chat	AN ADDITIVE BASIS FOR THE COHOMOLOGY RINGS OF REGULAR NILPOTENT HESSENBERG VARIETIES	2022	Makoto Enokizono Tatsuya Horiguchi Takahiro Nagaoka Akiyoshi Tsuchiya
+	The cohomology rings of intersections of Peterson varieties and Richardson varieties	2022	Tatsuya Horiguchi
+ PDF Chat	Mixed Eulerian numbers and Peterson Schubert calculus	2021	Tatsuya Horiguchi
+	Geometry of Peterson Schubert calculus in type A and left-right diagrams	2021	Hiraku Abe Tatsuya Horiguchi Hideya Kuwata Haozhi Zeng
+	Toric orbifolds associated with partitioned weight polytopes in classical types	2021	Tatsuya Horiguchi Mikiya Masuda John Shareshian Jongbaek Song
+	Mixed Eulerian numbers and Peterson Schubert calculus	2021	Tatsuya Horiguchi
+ PDF Chat	A filtration on the cohomology rings of regular nilpotent Hessenberg varieties	2020	Megumi Harada Tatsuya Horiguchi Satoshi Murai Martha Precup Julianna Tymoczko
+ PDF Chat	A Survey of Recent Developments on Hessenberg Varieties	2020	Hiraku Abe Tatsuya Horiguchi
+	Многочлен объема регулярных полупростых многообразий Хессенберга и многогранник Гельфанда-Цетлина	2019	Megumi Harada Tatsuya Horiguchi Mikiya Masuda Seonjeong Park
+ PDF Chat	The Volume Polynomial of Regular Semisimple Hessenberg Varieties and the Gelfand—Zetlin Polytope	2019	Megumi Harada Tatsuya Horiguchi Mikiya Masuda Seonjeong Park
+ PDF Chat	Hessenberg varieties and hyperplane arrangements	2019	Takuro Abe Tatsuya Horiguchi Mikiya Masuda Satoshi Murai Takashi Satō
+	A survey of recent developments on Hessenberg varieties	2019	Hiraku Abe Tatsuya Horiguchi
+	Uniform bases for ideal arrangements	2019	Makoto Enokizono Tatsuya Horiguchi Takahiro Nagaoka Akiyoshi Tsuchiya
+	A filtration on the cohomology rings of regular nilpotent Hessenberg varieties	2019	Megumi Harada Tatsuya Horiguchi Satoshi Murai Martha Precup Julianna Tymoczko
+	An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties	2019	Makoto Enokizono Tatsuya Horiguchi Takahiro Nagaoka Akiyoshi Tsuchiya
+ PDF Chat	The cohomology rings of regular semisimple Hessenberg varieties for $h = (h(1),n,\dotsc,n)$	2018	Hiraku Abe Tatsuya Horiguchi Mikiya Masuda
+ PDF Chat	The cohomology rings of regular nilpotent Hessenberg varieties and Schubert polynomials	2018	Tatsuya Horiguchi
+	The cohomology rings of regular nilpotent Hessenberg varieties and Schubert polynomials	2018	Tatsuya Horiguchi
+	The volume polynomial of regular semisimple Hessenberg varieties and the Gelfand-Zetlin polytope	2018	Megumi Harada Tatsuya Horiguchi Mikiya Masuda Seonjeong Park
+ PDF Chat	The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A	2017	Hiraku Abe Megumi Harada Tatsuya Horiguchi Mikiya Masuda
+	The cohomology rings of regular semisimple Hessenberg varieties for $h=(h(1),n,\ldots,n)$	2017	Hiraku Abe Tatsuya Horiguchi Mikiya Masuda
+	The torus equivariant cohomology rings of Springer varieties	2016	Hiraku Abe Tatsuya Horiguchi
+	Hessenberg varieties and hyperplane arrangements	2016	Takuro Abe Tatsuya Horiguchi Mikiya Masuda Satoshi Murai Takashi Satō
+	The $S^{1}$-equivariant cohomology rings of $(n - k, k)$ Springer varieties	2015	Tatsuya Horiguchi
+	The cohomology rings of regular nilpotent Hessenberg varieties in Lie type A	2015	Hiraku Abe Megumi Harada Tatsuya Horiguchi Mikiya Masuda
+ PDF Chat	The Equivariant Cohomology Rings of Peterson Varieties in All Lie Types	2014	Megumi Harada Tatsuya Horiguchi Mikiya Masuda
+	The $S^1$-equivariant cohomology rings of $(n-k,k)$ Springer varieties	2014	Tatsuya Horiguchi
+	The equivariant cohomology rings of regular nilpotent Hessenberg varieties in Lie type A: a research announcement	2014	Hiraku Abe Megumi Harada Tatsuya Horiguchi Mikiya Masuda
+	The torus equivariant cohomology rings of Springer varieties	2014	Hiraku Abe Tatsuya Horiguchi

Common Coauthors

Coauthor	Papers Together
Mikiya Masuda	16
Hiraku Abe	11
Megumi Harada	10
Takashi Satō	5
Satoshi Murai	4
Makoto Enokizono	3
Jongbaek Song	3
John Shareshian	3
Takahiro Nagaoka	3
Akiyoshi Tsuchiya	3
Seonjeong Park	3
Martha Precup	2
Hideya Kuwata	2
Takuro Abe	2
Haozhi Zeng	2
Julianna Tymoczko	2
Tomoaki Shirato	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The equivariant cohomology rings of Peterson varieties	2015	Yukiko Fukukawa Megumi Harada Mikiya Masuda	17
+ PDF Chat	The Equivariant Cohomology Rings of Peterson Varieties in All Lie Types	2014	Megumi Harada Tatsuya Horiguchi Mikiya Masuda	16
+ PDF Chat	The Cohomology Rings of Regular Nilpotent Hessenberg Varieties in Lie Type A	2017	Hiraku Abe Megumi Harada Tatsuya Horiguchi Mikiya Masuda	15
+ PDF Chat	Generalized Eulerian numbers and the topology of the Hessenberg variety of a matrix	1988	Filippo De Mari Mark A. Shayman	15
+ PDF Chat	Affine pavings of Hessenberg varieties for semisimple groups	2012	Martha Precup	14
+ PDF Chat	Chromatic quasisymmetric functions	2016	John Shareshian Michelle L. Wachs	14
+ PDF Chat	Hessenberg varieties and hyperplane arrangements	2019	Takuro Abe Tatsuya Horiguchi Mikiya Masuda Satoshi Murai Takashi Satō	13
+ PDF Chat	A positive Monk formula in the <i>S</i> <sup>1</sup> -equivariant cohomology of type <i>A</i> Peterson varieties	2011	Megumi Harada Julianna Tymoczko	13
+	Trigonometric sums, green functions of finite groups and representations of Weyl groups	1976	T. A. Springer	13
+ PDF Chat	The equivariant cohomology ring of regular varieties	2004	Michel Brion James B. Carrell	12
+	Flag manifold quantum cohomology, the toda lattice, and the representation with highest weight ρ	1996	Bertram Kostant	11
+ PDF Chat	Linear conditions imposed on flag varieties	2006	Julianna Tymoczko	11
+	Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties	2018	Patrick Brosnan Timothy Y. Chow	11
+ PDF Chat	Representations on Hessenberg Varieties and Young's Rule	2011	Nicholas Teff	11
+ PDF Chat	Patch ideals and Peterson varieties	2012	Erik Insko Alexander Yong	10
+	Equivariant cohomology, Koszul duality, and the localization theorem	1997	Mark Goresky Robert Kottwitz Robert MacPherson	10
+	Schubert polynomials and classes of Hessenberg varieties	2010	Dave Anderson Julianna Tymoczko	10
+ PDF Chat	Monk’s rule and Giambelli’s formula for Peterson varieties of all Lie types	2014	Elizabeth Drellich	10
+	Permutation actions on equivariant cohomology of flag varieties	2008	Julianna Tymoczko	9
+	Exponents for 𝐵-stable ideals	2006	Eric Sommers Julianna Tymoczko	8
+	Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties	2002	Konstanze Rietsch	8
+	A construction of representations of Weyl groups	1978	T. A. Springer	8
+ PDF Chat	THE BETTI NUMBERS OF REGULAR HESSENBERG VARIETIES ARE PALINDROMIC	2017	Martha Precup	8
+ PDF Chat	Geometry of Hessenberg varieties with applications to Newton–Okounkov bodies	2018	Hiraku Abe Lauren DeDieu Federico Galetto Megumi Harada	8
+ PDF Chat	Defining ideals of the closures of the conjugacy classes and representations of the Weyl groups	1982	Toshiyuki Tanisaki	7
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys	7
+	The equivariant cohomology rings of regular nilpotent Hessenberg varieties in Lie type A: a research announcement	2014	Hiraku Abe Megumi Harada Tatsuya Horiguchi Mikiya Masuda	7
+	A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra	2016	Mathieu Guay-Paquet	7
+	Hessenberg Varieties	1992	Filippo De Mari C. Procesi M. A. Shayman	7
+ PDF Chat	Generalizing Tanisaki’s ideal via ideals of truncated symmetric functions	2012	Aba Mbirika Julianna Tymoczko	7
+	A Symmetric Function Generalization of the Chromatic Polynomial of a Graph	1995	Richard P. Stanley	6
+	Combinatorics of Equivariant Cohomology: Flags and Regular Nilpotent Hessenberg Varieties	2015	Elizabeth Drellich	6
+	On certain graded Sn-modules and the q-Kostka polynomials	1992	Adriano M. Garsia Claudio Procesi	6
+ PDF Chat	Poset Pinball, Highest Forms, and $(n-2,2)$ Springer Varieties	2012	Barry Dewitt Megumi Harada	6
+	The Geometry of Flag Manifolds	1959	Donald Monk	5
+	Sur La Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groupes de Lie Compacts	1953	Armand Borel	5
+	The moment map and equivariant cohomology	1984	Michael Atiyah R. Bott	5
+ PDF Chat	A Giambelli formula for the<i>S</i><sup>1</sup>-equivariant cohomology of type<i>A</i>Peterson varieties	2012	Darius Bayegan Megumi Harada	5
+	Young Tableaux: With Applications to Representation Theory and Geometry	1996	William Fulton	5
+ PDF Chat	Hessenberg varieties	1992	Filippo De Mari Claudio Procesi Mark A. Shayman	5
+	Combinatorics and Commutative Algebra	1996	Richard P. Stanley	5
+ PDF Chat	A Hessenberg Generalization of the Garsia-Procesi Basis for the Cohomology Ring of Springer Varieties	2010	Aba Mbirika	5
+	Poset pinball, GKM-compatible subspaces, and Hessenberg varieties	2010	Megumi Harada Julianna Tymoczko	5
+ PDF Chat	GEOMETRY OF REGULAR HESSENBERG VARIETIES	2020	Hiraku Abe Naoki Fujita Haozhi Zeng	5
+ PDF Chat	The freeness of ideal subarrangements of Weyl arrangements	2016	Takuro Abe Mohamed Barakat Michael Cuntz Torsten Hoge Hiroaki Terao	5
+ PDF Chat	Schubert Calculus and the Homology of the Peterson Variety	2015	Erik Insko	5
+	Intersection theory of the Peterson variety and certain singularities of Schubert varieties	2015	Erik Insko Julianna Tymoczko	5
+	Eulerian numbers, tableaux, and the Betti numbers of a toric variety	1992	John R. Stembridge	4
+	Young Diagrams and Intersection Numbers for Toric Manifolds associated with Weyl Chambers	2015	Hiraku Abe	4
+	Poset pinball, GKM-compatible subspaces, and Hessenberg varieties	2017	Megumi Harada Julianna Tymoczko	4