Hard Lefschetz theorem for Sasakian manifolds

Using the hard Lefschetz theorem for Sasakian manifolds, we find two examples of compact K-contact nilmanifolds with no compatible Sasakian metric in dimensions 5 and 7, respectively.

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The Hard Lefschetz Theorem for Concave and Convex Algebraic Manifolds

Complex Analysis - Aspects of Mathematics ◽

10.1007/978-3-322-86856-5_28 ◽

1991 ◽

pp. 175-187

Author(s):

Siegmund Kosarew

Keyword(s):

Lefschetz Theorem ◽

Algebraic Manifolds ◽

Hard Lefschetz Theorem

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Relative Hard Lefschetz theorem for fans

Advances in Mathematics ◽

10.1016/j.aim.2019.03.006 ◽

2019 ◽

Vol 347 ◽

pp. 859-903

Author(s):

Kalle Karu

Keyword(s):

Lefschetz Theorem ◽

Hard Lefschetz Theorem

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Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property

SIAM Journal on Algebraic and Discrete Methods ◽

10.1137/0601021 ◽

1980 ◽

Vol 1 (2) ◽

pp. 168-184 ◽

Cited By ~ 179

Author(s):

Richard P. Stanley

Keyword(s):

Weyl Groups ◽

Sperner Property ◽

Lefschetz Theorem ◽

Hard Lefschetz Theorem

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Hard Lefschetz theorem in $p$-adic cohomology

Rendiconti del Seminario Matematico della Università di Padova ◽

10.4171/rsmup/136-15 ◽

2016 ◽

Vol 136 ◽

pp. 225-255 ◽

Cited By ~ 1

Author(s):

Daniel Caro

Keyword(s):

Lefschetz Theorem ◽

Hard Lefschetz Theorem

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Hard Lefschetz Theorem for Valuations, Complex Integral Geometry, and Unitarily Invariant Valuations

Journal of Differential Geometry ◽

10.4310/jdg/1080835658 ◽

2003 ◽

Vol 63 (1) ◽

pp. 63-95 ◽

Cited By ~ 50

Author(s):

Semyon Alesker

Keyword(s):

Integral Geometry ◽

Lefschetz Theorem ◽

Complex Integral ◽

Hard Lefschetz Theorem

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Hard Lefschetz theorem and Hodge-Riemann relations for intersection cohomology of nonrational polytopes

Indiana University Mathematics Journal ◽

10.1512/iumj.2005.54.2528 ◽

2005 ◽

Vol 54 (1) ◽

pp. 263-308 ◽

Cited By ~ 6

Author(s):

Paul Bressler ◽

Valery A. Lunts

Keyword(s):

Intersection Cohomology ◽

Lefschetz Theorem ◽

Hard Lefschetz Theorem

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Hard Lefschetz theorem for Vaisman manifolds

Transactions of the American Mathematical Society ◽

10.1090/tran/7525 ◽

2018 ◽

Vol 371 (2) ◽

pp. 755-776

Author(s):

Beniamino Cappelletti-Montano ◽

Antonio De Nicola ◽

Juan Carlos Marrero ◽

Ivan Yudin

Keyword(s):

Lefschetz Theorem ◽

Vaisman Manifolds ◽

Hard Lefschetz Theorem

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An Application of the Hard Lefschetz Theorem

Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds - Lecture Notes in Mathematics ◽

10.1007/978-3-540-89306-6_1 ◽

2009 ◽

pp. 1-17

Author(s):

Rainer Weissauer

Keyword(s):

Lefschetz Theorem ◽

Hard Lefschetz Theorem

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Proof of the Hard Lefschetz Theorem

Introduction to Soergel Bimodules - RSME Springer Series ◽

10.1007/978-3-030-48826-0_20 ◽

2020 ◽

pp. 401-418

Author(s):

Ben Elias ◽

Shotaro Makisumi ◽

Ulrich Thiel ◽

Geordie Williamson

Keyword(s):

Lefschetz Theorem ◽

Hard Lefschetz Theorem

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