22 citations · 26 across the 30 of their papers we have counts for
36 papers
Geodesic string counting invariants and arithmetic of multiplicities
Yasha Savelyev
We study rational valued counts of geodesic strings (reparametrization equivalence classes of closed geodesics) for complete Riemann-Finsler manifolds, based on the Fuller index of…
On moduli spaces of uniformly negatively curved metrics
Yasha Savelyev
Let $\Neg(X)$ denote the space of complete Riemannian metrics with uniformly negative curvature on a surface , equipped with the intrinsic uniform topology. Let $\mathcal…
Global Fukaya category II: applications
Yasha Savelyev
To paraphrase, part I constructs a bundle of categories given the input of a Hamiltonian fibration over a smooth manifold. Here we show that this bundle is generally…
Strict contactomorphisms are scarce
Yong-Geun Oh, Yasha Savelyev
The notion of non-projectible contact forms on a given compact manifold is introduced by the first-named author in [Ohb], the set of which he also shows is a residual subset of…
Quantum Maslov classes
Yasha Savelyev
We give a construction of ``quantum Maslov characteristic classes'', generalizing to higher dimensional cycles the Hu-Lalonde-Seidel morphism. We also state a conjecture extending…
Incompleteness theorems via Turing category
Yasha Savelyev
We give a reframing of Godel's first and second incompleteness theorems that applies even to some undefinable theories of arithmetic. The usual Hilbert-Bernays provability conditio…
Hamiltonian elements in algebraic K-theory
Yasha Savelyev
A Hamiltonian bundle (with monotone compact fibers) induces via Floer theory a type of ``bundle of categories'' over , with fiber given…
Elliptic curves in lcs manifolds and metric invariants
Yasha Savelyev
We study invariants defined by count of charged, elliptic -holomorphic curves in locally conformally symplectic manifolds. We use this to define -valued deformation…
Untwisted Gromov-Witten invariants of Riemann-Finsler manifolds
Yasha Savelyev
We define a -valued deformation invariant of certain complete Riemann-Finsler manifolds, in particular of complete Riemannian manifolds with non positive sectional curv…
A remark on deformation of Gromov non-squeezing
Yasha Savelyev
Let be as in the classical Gromov non-squeezing theorem, and let . We first conjecture that the Gromov non-squeezing phenomenon persists for…
Locally conformally symplectic deformation of Gromov non-squeezing
Yasha Savelyev
We prove one deformation theoretic extension of the Gromov non-squeezing phenomenon to structures, or locally conformally symplectic structures, which suitably generalize bot…
Incompleteness for stably computable formal systems
Yasha Savelyev
We prove, for stably computably enumerable formal systems, direct analogues of the first and second incompleteness theorems of Gödel. A typical stably computably enumerable set is…
Smooth simplicial sets and universal Chern-Weil for infinite dimensional groups
Yasha Savelyev
We give the construction of the universal, natural up to homotopy Chern-Weil differential graded algebra homomorphism: for…
Pseudoholomoprhic curves on the -fication of contact manifolds
Yong-Geun Oh, Yasha Savelyev
For each contact diffeomorphism of , we equip its mapping torus with a \emph{locally conformal symplectic} form of Banyaga's type, which we call t…
A conformal symplectic Weinstein conjecture
Yasha Savelyev
We introduce a direct generalization of the Weinstein conjecture to closed, Lichnerowicz exact, locally conformally symplectic manifolds, (for short $\lcs$ manifolds). This conject…
Incompleteness for stably consistent formal systems
Yasha Savelyev
We first partly develop a mathematical notion of stable consistency intended to reflect the actual consistency property of human beings. Then we give a generalization of the first…
Mean curvature versus diameter and energy quantization
Yasha Savelyev
We first partially extend a theorem of Topping, on the relation between mean curvature and intrinsic diameter, from immersed submanifolds of to almost everywhere…
Non-computability of human intelligence
Yasha Savelyev
We revisit the question (most famously) initiated by Turing: can human intelligence be completely modeled by a Turing machine? We show that the answer is \emph{no}, assuming a cert…
Extended Fuller index, sky catastrophes and the Seifert conjecture
Yasha Savelyev
We extend the classical Fuller index, and use this to prove that for a certain general class of vector fields on a compact smooth manifold, if a homotopy of smooth non-singular…
Gromov-Witten theory of a locally conformally symplectic manifold
Yasha Savelyev
We initiate here the study of Gromov-Witten theory of locally conformally symplectic manifolds or $\lcs$ manifolds, $\lcsm$'s for short, which are a natural generalization of both…
K-theoretic invariants of Hamiltonian fibrations
Yasha Savelyev, Egor Shelukhin
We introduce new invariants of Hamiltonian fibrations with values in the suitably twisted K-theory of the base. Inspired by techniques of geometric quantization, our invariants ari…
On the Hofer geometry injectivity radius conjecture
Yasha Savelyev
We verify here some variants of topological and dynamical flavor of the injectivity radius conjecture in Hofer geometry, Lalonde-Savelyev \cite{citeLalondeSavelyevOntheinjectivityr…
Floer theory and topology of
Yasha Savelyev
We say that a fixed point of a diffeomorphism is non-degenerate if 1 is not an eigenvalue of the linearization at the fixed point. We use pseudo-holomorphic curves techniques to pr…
Global Fukaya category II: singular connections, quantum obstruction theory, and other applications
Yasha Savelyev
In part I, using the theory of -categories, we constructed a natural ``continuous action'' of on the Fukaya category of a closed monotone symp…