Masahiro Futaki

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All published works

Action	Title	Year	Authors
+ PDF Chat	Equivariant homological mirror symmetry for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">C</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si10.svg"><mml:mi mathvariant="double-struck">C</mml:mi><mml:msup><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>	2023	Masahiro Futaki Fumihiko Sanda
+ PDF Chat	Homological mirror symmetry of $\mathbb{F}_1$ via Morse homotopy	2022	Masahiro Futaki Hiroshige Kajiura
+ PDF Chat	Homological mirror symmetry of CPn and their products via Morse homotopy	2021	Masahiro Futaki Hiroshige Kajiura
+	Equivariant Homological Mirror Symmetry for $\mathbb{C}$ and $\mathbb{C} P^1$	2021	Masahiro Futaki Fumihiko Sanda
+	Homological mirror symmetry of $\mathbb{F}_1$ via Morse homotopy	2020	Masahiro Futaki Hiroshige Kajiura
+ PDF Chat	Tropical Coamoeba and Torus-Equivariant Homological Mirror Symmetry for the Projective Space	2014	Masahiro Futaki Kazushi Ueda
+	Homological mirror symmetry for singularities of type D	2012	Masahiro Futaki Kazushi Ueda
+ PDF Chat	Homological mirror symmetry for Brieskorn–Pham singularities	2011	Masahiro Futaki Kazushi Ueda
+	A note on homological mirror symmetry for singularities of type D	2010	Masahiro Futaki Kazushi Ueda
+	Dimer models and homological mirror symmetry for triangles	2010	Masahiro Futaki Kazushi Ueda
+	Tropical coamoeba and torus-equivariant homological mirror symmetry for the projective space	2010	Masahiro Futaki Kazushi Ueda
+ PDF Chat	Exact Lefschetz fibrations associated with dimer models	2010	Masahiro Futaki Kazushi Ueda
+	A-infinity categories associated with dimer models	2009	Masahiro Futaki Kazushi Ueda
+	Exact Lefschetz fibrations associated with dimer models	2009	Masahiro Futaki Kazushi Ueda
+	Homological mirror symmetry for Brieskorn-Pham singularities	2009	Masahiro Futaki Kazushi Ueda

Common Coauthors

Coauthor	Papers Together
Kazushi Ueda	10
Hiroshige Kajiura	3
Fumihiko Sanda	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Homological Algebra of Mirror Symmetry	1995	Maxim Kontsevich	9
+ PDF Chat	Suspending Lefschetz Fibrations, with an Application to Local Mirror Symmetry	2009	P. Seidel	7
+	ENHANCED TRIANGULATED CATEGORIES	1991	Alexey Bondal Mikhail Kapranov	7
+ PDF Chat	Mirror symmetry for weighted projective planes and their noncommutative deformations	2008	Denis Auroux Ludmil Katzarkov Dmitri Olegovich Orlov	6
+	Lagrangian Intersection Floer Theory: Anomaly and Obstruction	2009	賢治深谷 Yong‐Geun Oh Hiroshi Ohta Kaoru Ono	5
+ PDF Chat	Formal completions and idempotent completions of triangulated categories of singularities	2010	Dmitri Olegovich Orlov	5
+ PDF Chat	Compact generators in categories of matrix factorizations	2011	Tobias Dyckerhoff	4
+ PDF Chat	Homological algebra on a complete intersection, with an application to group representations	1980	David Eisenbud	4
+ PDF Chat	Weighted blowups and mirror symmetry for toric surfaces	2008	Gabriel Kerr	4
+ PDF Chat	On two examples by Iyama and Yoshino	2011	Bernhard Keller Daniel Murfet Michel Van den Bergh	4
+ PDF Chat	Duality for regular systems of weights	1998	Kyoji Saito	4
+ PDF Chat	Homological Mirror Symmetry for Toric del Pezzo Surfaces	2006	Kazushi Ueda	4
+ PDF Chat	Strange duality of weighted homogeneous polynomials	2011	Wolfgang Ebeling Atsushi Takahashi	4
+ PDF Chat	Vanishing Cycles and Mutation	2001	Paul Seidel	3
+	Weighted Projective Lines Associated to Regular Systems of Weights of Dual Type	2007	Atsushi Takahashi	3
+ PDF Chat	Homogeneous coordinate rings and mirror symmetry for toric varieties	2006	Mohammed Abouzaid	3
+ PDF Chat	Morse homology, tropical geometry, and homological mirror symmetry for toric varieties	2009	Mohammed Abouzaid	3
+ PDF Chat	Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves	2006	Denis Auroux Ludmil Katzarkov Dmitri Olegovich Orlov	3
+	HOMOLOGICAL MIRROR SYMMETRY AND TORUS FIBRATIONS	2001	Maxim Kontsevich Yan Soibelman	3
+	Triangulated categories of matrix factorizations for regular systems of weights with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>ε</mml:mi><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:math>	2008	Hiroshige Kajiura Kyoji Saito Atsushi Takahashi	3
+	FJRW rings and Landau-Ginzburg Mirror Symmetry	2009	Marc Krawitz	3
+ PDF Chat	MORE ABOUT VANISHING CYCLES AND MUTATION	2001	Paul Seidel	3
+	Homological Geometry and Mirror Symmetry	1995	Alexander Givental	2
+ PDF Chat	The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>A</mml:mi><mml:mo>∞</mml:mo></mml:msub></mml:math> deformation theory of a point and the derived categories of local Calabi–Yaus	2008	Ed Segal	2
+	Stability structures, motivic Donaldson-Thomas invariants and cluster transformations	2008	Maxim Kontsevich Yan Soibelman	2
+	The Coherent-Constructible Correspondence and Homological Mirror Symmetry for Toric Varieties	2009	Bohan Fang Chiu-Chu Melissa Liu David Treumann Eric Zaslow	2
+	On moduli spaces of quiver representations associated with dimer models	2007	Akira Ishii Kazushi Ueda	2
+	TRIANGULATED CATEGORIES OF SINGULARITIES AND D-BRANES IN LANDAU-GINZBURG MODELS	2004	Dmitri Olegovich Orlov	2
+ PDF Chat	K. Saito's Duality for Regular Weight Systems and Duality for Orbifoldized Poincaré Polynomials	1999	Atsushi Takahashi	2
+	Homological mirror symmetry of Fermat polynomials	2009	So Okada	2
+	Computation of Principal A-determinants through Dimer Dynamics	2009	Jan Stienstra	2
+	Triangulated categories of matrix factorizations for regular systems of weights with $\epsilon=-1$	2007	Hiroshige Kajiura Kyoji Saito Atsushi Takahashi	2
+	Derived categories of small toric Calabi-Yau 3-folds and counting invariants	2008	Kentaro Nagao	2
+ PDF Chat	Remarks on quiver gauge theories from open topological string theory	2010	Nils Carqueville Alexander Quintero Vélez	2
+	None	1999	Sergei Merkulov	2
+ PDF Chat	Dimer models and the special McKay correspondence	2015	Akira Ishii Kazushi Ueda	2
+	Consistency conditions for brane tilings	2011	Ben Davison	2
+	Matrix Factorizations and Representations of Quivers I	2005	Atsushi Takahashi	2
+ PDF Chat	Mirror Symmetry Without Corrections	2005	Naichung Conan Leung	2
+ PDF Chat	Gauge theories from toric geometry and brane tilings	2006	Sebastián Franco Amihay Hanany Dario Martelli James Sparks David Vegh Brian Wecht	2
+ PDF Chat	Holomorphic Line Bundles on Projective Toric Manifolds from Lagrangian Sections of their Mirrors by SYZ Transformations	2009	K. K. Chan	2
+ PDF Chat	Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities	2009	Dmitri Olegovich Orlov	2
+	Dimer models and exceptional collections	2009	Akira Ishii Kazushi Ueda	2
+	Sur les A-infini catégories	2003	Kenji Lefèvre-Hasegawa	2
+	Crepant resolutions and brane tilings II: Tilting bundles	2009	M. Bender Sergey Mozgovoy	2
+ PDF Chat	A generalized construction of mirror manifolds	1993	Per Berglund Tristan Hübsch	2
+	Dimer models and toric diagrams	2005	Amihay Hanany Kristian D. Kennaway	2
+	Matrix factorizations and representations of quivers II: Type ADE case	2006	Hiroshige Kajiura Kyoji Saito Atsushi Takahashi	2
+	Projective Dimension and the Singular Locus	2003	Hans Schoutens	2
+ PDF Chat	From special Lagrangian to Hermitian–Yang–Mills via Fourier–Mukai transform	2000	Naichung Conan Leung Shing-Tung Yau Eric Zaslow	2