A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Alternative proof of coisotropic embedding theorem for pre-symplectic manifolds.
Alternative proof of Michael-Simon-Sobolev inequality using optimal transport.
Recently, Andrews and Clutterbuck [AC13] gave a new proof of the optimal lower eigenvalue bound on manifolds via modulus of continuity for solutions of the heat equation. In this short note, we give an alternative proof of Theorem 2 in [AC13]. More precisely, following Ni's method ([Ni13, Section 6]) we give an ellipti…
Alternative proof for ribbon surfaces in 3D space.
Alternative proof of Alexander polynomial trapezoid conjecture using dimers.
First geometric proof of the flyping theorem.
We use a simple geometric argument and small cancellation properties of link groups to prove that alternating links are non-trivial. This proof uses only classic results in topology and combinatorial group theory.
Alternative proof for static black hole uniqueness with nonpositive mass.
We give an alternate proof of Wise's Malnormal Special Quotient Theorem (MSQT), avoiding cubical small cancellation theory. We also show how to deduce Wise's Quasiconvex Hierarchy Theorem from the MSQT and theorems of Hsu--Wise and Haglund--Wise.
Study proves chainmail links are L-space links.
Proves special alternating knots can't have cosmetic crossings.
Simple proof of knot genus theorem using Alexander polynomial.
Adapts pivoting technique to circle homeomorphisms for proofs.
We give a geometric proof of the following result of Juhasz. \emph{Let be the leading coefficient of the Alexander polynomial of an alternating knot . If then has a unique minimal genus Seifert surface.} In doing so, we are able to generalise the result, replacing `minimal genus' with `incompress…
Paper provides an alternative proof for Dahmen's conjectures about Lame equations.
This paper is devoted to prove the existence of -periodic alternating projections of prime alternating -periodic knots. The main tool is the Menasco-Thistlethwaite's Flyping theorem. Let be an oriented prime alternating knot that is -periodic with , i.e. admits a symmetry that is a rotation of…
We give a complete proof of results announced by Hirasawa and Sakuma describing explicitly the Kakimizu complex of a non-split, prime, special, alternating link.
New proof limits Jones polynomial values for quasi-alternating links.
We describe an error in the proof of a key proposition, which was necessary for the proof of the main result. Alternate proofs of the main result are given by Ozsvath-Stipsicz-Szabo and Dai-Hom-Stoffregen-Truong.
This paper gives two new combinatorial topological proofs of the classification of rational tangles. Each proof rests on an elegant lemma showing that rational tangles are isotopic to canonical alternating rational tangles. The first proof defines the tangle fraction from the canonical form and uses flyping to prove in…
The study proves a theorem for alternating knots in handlebodies.
Alternative proof of Khovanov's up-to-sign functoriality for odd Khovanov homology.
Toyoda proved 5-point CAT(0) spaces; this paper offers a new proof.
We provide an alternative proof that Crosscaps are diffeomorphically stable.
Alternative proof for non-existence of complete curves in differential strata.
Combinatorial proof of grid homology properties.
Probabilistic proof shows separability in free groups.
We establish a characterization of alternating links in terms of definite spanning surfaces. We apply it to obtain a new proof of Tait's conjecture that reduced alternating diagrams of the same link have the same crossing number and writhe. We also deduce a result of Banks and Hirasawa-Sakuma about Seifert surfaces for…
The proof of the comparison principlein [EGZ11] is not complete. We provide here an alternative proof, valid in the ample locus of any big cohomology class, and discuss the resulting modifications.
We gave an alternative short proof on the finite generation of holomorphic functions with polynomial growth on Riemann surfaces with nonnegative curvature. The first proof was due to Li and Tam.
New proof of trapezoidal property for Alexander polynomials of special alternating links.
X.S. Lin and O. Dasbach proved that the sum of the absolute value of the second and penultimate coefficients of the Jones polynomial of an alternating knot is equal to the twist number of the knot. In this paper we give a new proof of their result using Khovanov homology. The proof is by induction on the number of cros…
We provide an alternative, simpler proof of the existence of thick triangulations for noncompact manifolds. Moreover, this proof is simpler than the original one given in \cite{pe}, since it mainly uses tools of elementary differential topology. The role played by curvatures in this construction is also…
In this paper we define alternating Kauffman states of links and we characterize when the induced state surface is a fiber. In addition, we give a different proof of a similar theorem of Futer, Kalfagianni and Purcell on homogeneous states.
Alternative proof of weak solutions to mean curvature flow using minimizing movements.
Alternative proof classifies Kleinian groups with two parabolics.
Characterizes a specific type of alternating knot.
An alternate proof shows how foliation extensions work in 3D spaces.
Alternative proof of flatness for Ricci-pinched 3-manifolds.
We study the set of Crowell states for alternating knot projections and show that for prime alternating knots the space of states for a reduced projection is connected, a result similar to that for Kauffman states. As an application we give a new proof of a result of Ozsvath and Szabo characterizing (2,2n+1) torus knot…
Author provides an alternate proof of the free ribbon lemma.
We give an alternative proof of Madsen-Weiss' generalized Mumford conjecture. Our proof is based on ideas similar to Madsen-Weiss' original proof, but it is more geometrical and less homotopy theoretical in nature. At the heart of the argument is a geometric version of Harer stability, which we formulate as a theorem a…
In this note, we complete the classification of quasi-alternating Montesinos links. We show that the quasi-alternating Montesinos links are precisely those identified independently by Qazaqzeh-Chbili-Qublan and Champanerkar-Ording. A consequence of our proof is that a Montesinos link is quasi-alternating if and onl…
In Karatzas and Kardaras's paper on semimartingale financial models, it is proved that the NUPBR condition is a property of the local characteristic of the asset process alone. In Takaoka's paper on NUPBR, it is proved that the NUPBR condition is equivalent to the existence of a simga-martingale deflator. However, Taka…
In this paper we present new proofs of the Conway-Gordon-Sachs and Sachs Theorems on the linked cycles in graphs embedded in . We reduce these theorems to certain property of graphs mapped to the plane.
New proof of surface group theorem for 2D Poincaré duality groups.
In this note we provide a proof of the following: Any compact KRS with positive bisectional curvature is biholomorphic to the complex projective space. As a corollary, we obtain an alternative proof of the Frankel conjecture by using the Kähler-Ricci flow.
Alternative proof and description of orientations for instanton moduli spaces.