Monday, October 14, 2019 4:00 PM
Vardan Oganesyan (Stony Brook)

Let N be the total space of a bundle over some k-dimensional torus with fiber Z, where Z is a connected sum of sphere products. It turns out that N can be embedded into C^n and CP^n as a monotone Lagrangian submanifold. It is possible to construct embeddings of N with different minimal Maslov numbers and get submanifolds which are not Lagrangian isotopic. Also, we will discuss restrictions on Maslov class of monotone Lagrangian submanifolds of C^n. We will show that in certain cases our examples realize all possible minimal Maslov numbers. In addition, we can show that some of our embeddings are smoothly isotopic but they are not Hamiltonian isotopic. (joint with Yuhan Sun)