Symplectic embeddings into cylinders for certain symplectic manifolds

Nil Ipek Sirikci

doi:10.15672/hujms.1451185

Araştırma Makalesi

Yıl 2025, Erken Görünüm, 1 - 4

Nil Ipek Sirikci

https://doi.org/10.15672/hujms.1451185

Öz

Kaynakça

[1] L. Buhovsky, The Maslov class of Lagrangian tori and quantum products in Floer cohomology, Journal of Topology and Analysis, 2(1), 57-75, 2010.

Symplectic embeddings into cylinders for certain symplectic manifolds

Yıl 2025, Erken Görünüm, 1 - 4

Nil Ipek Sirikci

https://doi.org/10.15672/hujms.1451185

Öz

We present a proof of a nonexistence result for symplectic embeddings of symplectic manifolds satisfying certain conditions into the symplectic cylinder. The proof utilizes an inequality between the displacement energy and the cylindrical capacity for subsets of $\mathbb{R}^{2n}$ to obtain an inequality for bounded subsets of the symplectic manifold. We also state a corollary which utilizes other results on nondisplaceable Lagrangians.

Anahtar Kelimeler

symplectic embeddings, symplectic manifolds, Lagrangian submanifolds, symplectic cylinder, displacement energy, cylindrical capacity

Kaynakça

[1] L. Buhovsky, The Maslov class of Lagrangian tori and quantum products in Floer cohomology, Journal of Topology and Analysis, 2(1), 57-75, 2010.

Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Cebirsel ve Diferansiyel Geometri
Bölüm	Matematik
Yazarlar	Nil Ipek Sirikci 0000-0001-5161-5329
Erken Görünüm Tarihi	24 Haziran 2025
Yayımlanma Tarihi
Gönderilme Tarihi	11 Mart 2024
Kabul Tarihi	14 Nisan 2025
Yayımlandığı Sayı	Yıl 2025 Erken Görünüm

Kaynak Göster

APA	Sirikci, N. I. (2025). Symplectic embeddings into cylinders for certain symplectic manifolds. Hacettepe Journal of Mathematics and Statistics1-4. https://doi.org/10.15672/hujms.1451185
AMA	Sirikci NI. Symplectic embeddings into cylinders for certain symplectic manifolds. Hacettepe Journal of Mathematics and Statistics. Published online 01 Haziran 2025:1-4. doi:10.15672/hujms.1451185
Chicago	Sirikci, Nil Ipek. “Symplectic Embeddings into Cylinders for Certain Symplectic Manifolds”. Hacettepe Journal of Mathematics and Statistics, Haziran (Haziran 2025), 1-4. https://doi.org/10.15672/hujms.1451185.
EndNote	Sirikci NI (01 Haziran 2025) Symplectic embeddings into cylinders for certain symplectic manifolds. Hacettepe Journal of Mathematics and Statistics 1–4.
IEEE	N. I. Sirikci, “Symplectic embeddings into cylinders for certain symplectic manifolds”, Hacettepe Journal of Mathematics and Statistics, ss. 1–4, Haziran 2025, doi: 10.15672/hujms.1451185.
ISNAD	Sirikci, Nil Ipek. “Symplectic Embeddings into Cylinders for Certain Symplectic Manifolds”. Hacettepe Journal of Mathematics and Statistics. Haziran 2025. 1-4. https://doi.org/10.15672/hujms.1451185.
JAMA	Sirikci NI. Symplectic embeddings into cylinders for certain symplectic manifolds. Hacettepe Journal of Mathematics and Statistics. 2025;:1–4.
MLA	Sirikci, Nil Ipek. “Symplectic Embeddings into Cylinders for Certain Symplectic Manifolds”. Hacettepe Journal of Mathematics and Statistics, 2025, ss. 1-4, doi:10.15672/hujms.1451185.
Vancouver	Sirikci NI. Symplectic embeddings into cylinders for certain symplectic manifolds. Hacettepe Journal of Mathematics and Statistics. 2025:1-4.