Y. Savelyev

activity

20072026

most citedQuantum characteristic classes and the Hofer metric

22 citations · 26 across the 30 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.DG2013

Yang Mills theory and jumping curves

Yasha Savelyev

We study a smooth analogue of jumping curves of a holomorphic vector bundle, and use Yang-Mills theory over $S^{2}$ to show that any non-trivial, smooth Hermitian vector bundle…

math.SG2013

Morse theory for the Hofer length functional

Yasha Savelyev

Following \cite{citeSavelyevVirtualMorsetheoryon $O m e g a$ Ham $(M o m e g a)$ .}, we develop here a connection between Morse theory for the (positive) Hofer length functional $L: Ω\text {Ham…

math.SG2013

Global Fukaya category I

Yasha Savelyev

Let $H am (M, ω)$ denote the Frechet Lie group of Hamiltonian symplectomorphisms of a monotone symplectic manifold $(M, ω)$ . Let $N F u k (M, ω)$ be the $A_{\infty}$ -nerve of the Fu…