On Floer minimal knots in sutured manifolds

نویسندگان

چکیده

Suppose ( M , γ stretchy="false">) (M, \gamma ) is a balanced sutured manifold and alttext="upper K"> K encoding="application/x-tex">K rationally null-homologous knot in M"> encoding="application/x-tex">M . It known that the rank of Floer homology minus N left-parenthesis K ∖ S 3 encoding="application/x-tex">L\subset S^3 fixed link complement L"> encoding="application/x-tex">L , then union ∪<!-- ∪ encoding="application/x-tex">L\cup K achieves minimum only unknot cubed encoding="application/x-tex">S^3\backslash L

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Homological actions on sutured Floer homology

We define the action of the homology group H1(M,∂M) on the sutured Floer homology SFH(M,γ). It turns out that the contact invariant EH(M,γ, ξ) is usually sent to zero by this action. This fact allows us to refine an earlier result proved by Ghiggini and the author. As a corollary, we classify knots in #(S × S) which have simple knot Floer homology groups: They are essentially the Borromean knots.

متن کامل

The sutured Floer homology polytope

Using sutured Floer homology (in short SFH) I will define a polytope inside the second relative cohomology group of a sutured manifold. This is a generalization of the dual Thurston norm polytope of a link-complement studied by Ozsvath and Szabo using link Floer homology. The polytope is maximal dimensional under certain conditions. Moreover, surface decompositions correspond to the faces of th...

متن کامل

Minimal Seifert manifolds for higher ribbon knots

We show that a group presented by a labelled oriented tree presentation in which the tree has diameter at most three is an HNN extension of a finitely presented group. From results of Silver, it then follows that the corresponding higher dimensional ribbon knots admit minimal Seifert manifolds. AMS Classification 57Q45; 20E06, 20F05, 57M05

متن کامل

Sutured Heegaard diagrams for knots

We define sutured Heegaard diagrams for null-homologous knots in 3–manifolds. These diagrams are useful for computing the knot Floer homology at the top filtration level. As an application, we give a formula for the knot Floer homology of a Murasugi sum. Our result echoes Gabai’s earlier works. We also show that for socalled “semifibred" satellite knots, the top filtration term of the knot Floe...

متن کامل

The Decategorification of Sutured Floer Homology

We define a torsion invariant for balanced sutured manifolds and show that it agrees with the Euler characteristic of sutured Floer homology. The torsion is easily computed and shares many properties of the usual Alexander polynomial.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2022

ISSN: ['2330-0000']

DOI: https://doi.org/10.1090/btran/105