Homotopy groups of K-contact toric manifolds

By Eugene Lerman. 2004

48 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/888d7f8ecd36675b6b18f582c9f4cb68f6239dfa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. David Vegh
2. S. Franco
3. B. Wecht
4. J. Sparks
5. D. Waldram
6. D. Martelli
7. J. Gauntlett
8. A. Hanany

In Discrete Mathematics and Combinatorics

1. J. Sparks
2. D. Waldram
3. D. Martelli
4. J. Gauntlett
5. A. Hanany

In Geometry and Topology

1. J. Sparks
2. D. Martelli
3. A. Hanany
4. Alberto Zaffaroni
5. S. Franco
6. David Vegh
7. J. Gauntlett
8. B. Wecht

Citations in the corpus

• Sasaki-Einstein Manifolds (2010, background): “∂φ i = ξ, with ξdetermined by Gξ(y) in (5.4). Proposition 5.2 extends earlier work of Guillemin [57] and Abreu [1] from the Ka¨hler case to the Sasakian case. The following topological result is from [67]: Proposition 5.3. Let S be a toric Sasakian manifold. Then π1(S) ∼= ZTn/spanZ{va}, π2(S) ∼= Zd−”
• Toric Sasaki-Einstein metrics on S2 × S3 (2004, result): “By the results of [ 14 ] we then have π2(Y ) � = Z. Since Y is simply–connected,”
• Toric Geometry, Sasaki–Einstein Manifolds and a New Infinite Class of AdS/CFT Duals (2004, methodology): “[40] we have the following general topological facts about the base Y of the symplectic toric cone C(Y ) we began with (provided it is of Reeb type):”
• Gauge theories from toric geometry and brane tilings (2005, background): “In [52] it is shown that L has trivial homotopy groups in dimensions 0, 1 and 2.”