The bracket polynomial of the Celtic link shadow $CK_4^{2n}$

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Ramaharo, Franck
Format:	Preprint
Publié:	2025
Sujets:	Geometric Topology Combinatorics 57M25, 05A19
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

A note on the recursive computation of the bracket polynomial for closed 4-tangles
par: Ramaharo, Franck
Publié: (2025)

New formulas for the Jones polynomial of a rational link
par: Diao, Yuanan, et autres
Publié: (2026)

An analog of the {K}auffman bracket polynomial for knots in the non-orientable thickening of a non-orientable surface
par: Tarkaev, Vladimir
Publié: (2022)

Torsion in Khovanov homology of semi-adequate links
par: Przytycki, Jozef H., et autres
Publié: (2012)

Mock Alexander Polynomials
par: Gügümcü, Neslihan, et autres
Publié: (2024)

Additivity of Crossing Number via Restricted Reidemeister Moves
par: Weinstein, Vadim
Publié: (2025)

Alternating links have at most polynomially many Seifert surfaces of fixed genus
par: Hass, Joel, et autres
Publié: (2018)

Free circle actions on $(n-1)$-connected $(2n+1)$-manifolds
par: Jiang, Yi, et autres
Publié: (2024)

Holonomy preserving transformations of weighted graphs and its application to knot theory
par: Nagasaka, Atsuhide
Publié: (2025)

Invariants of almost embeddings of graphs in the plane: results and problems
par: Alkin, E., et autres
Publié: (2024)

Intrinsic linking of simplicial $n$-complexes in $\mathbb{R}^{2n}$: An additional minimal $n$-complex
par: Nikkuni, Ryo
Publié: (2026)

Tangle decompositions of alternating link complements
par: Hass, Joel, et autres
Publié: (2019)

Minimal genus Seifert surfaces for alternating links
par: Banks, Jessica E.
Publié: (2011)

Tracefree ${\rm SL}(2,\mathbb{C})$-representations of Montesinos links
par: Chen, Haimiao
Publié: (2016)

On winding numbers of almost embeddings of $K_4$ in the plane
par: Alkin, Emil, et autres
Publié: (2025)

Intrinsic linking of a simplicial $n$-complex embedded in $\mathbb{R}^{2n}$
par: Nikkuni, Ryo
Publié: (2026)

Trace-free ${\rm SL}(2,\mathbb{C})$-representations of arborescent links
par: Chen, Haimiao
Publié: (2017)

Constructing embedded surfaces for cellular embeddings of leveled spatial graphs
par: Barthel, Senja, et autres
Publié: (2024)

Invariants for Turaev genus one links
par: Dasbach, Oliver T., et autres
Publié: (2016)

Oriented Disingquandles and Invariants of Oriented Dichromatic Singular links
par: Sheikh, Mohd Ibrahim, et autres
Publié: (2023)

A categorification for the partial-dual genus polynomial
par: Cheng, Zhiyun, et autres
Publié: (2024)

Khovanov-Lipshitz-Sarkar homotopy type for links in thickened surfaces
par: Kauffman, Louis H., et autres
Publié: (2021)

A prime decomposition theorem for string links in a thickened surface
par: Tarkaev, Vladimir
Publié: (2024)

Discrete group actions on 3-manifolds and embeddable Cayley complexes
par: Georgakopoulos, Agelos, et autres
Publié: (2022)

Markov theorem for transversal links
par: Orevkov, S. Yu., et autres
Publié: (2001)

Khovanov-Rozansky homology of Coxeter knots and Schröder polynomials for paths under any line
par: Caprau, Carmen, et autres
Publié: (2024)

A note on three-fold branched covers of $S^4$
par: Blair, Ryan, et autres
Publié: (2019)

Torres-type formulas for link signatures
par: Cimasoni, David, et autres
Publié: (2023)

Partial-dual genus polynomial as a weight system
par: Chmutov, Sergei
Publié: (2023)

Quantum traces for $SL_n$-skein algebras
par: Lê, Thang T. Q., et autres
Publié: (2023)

From arcs to curves: quadratic growth of 1-systems
par: Aougab, Tarik, et autres
Publié: (2025)

Computing the Khovanov homology of 2 strand braid links via generators and relations
par: Fiorenza, Domenico, et autres
Publié: (2024)

On definite lattices bounded by integer surgeries along knots with slice genus at most 2
par: Golla, Marco, et autres
Publié: (2018)

On the skein polynomial for links
par: Jiang, Boju, et autres
Publié: (2016)

Coloring curves on surfaces
par: Gaster, Jonah, et autres
Publié: (2016)

Intrinsically knotted graphs and connected domination
par: Li, Gregory, et autres
Publié: (2024)

Links in projective planar graphs
par: Foisy, Joel, et autres
Publié: (2022)

Connected Domination in Plane Triangulations
par: Bryant, Felicity, et autres
Publié: (2024)

Maps from knots to $2$-links, chord diagrams, and a way to enhance Vassiliev invariants
par: Manturov, Vassily Olegovich
Publié: (2025)

On the negative band number
par: Capovilla-Searle, Michele, et autres
Publié: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"fr"
VUFIND_SESSION	"f10c210fd8ec5bb23b168695dd64cef6"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790894890.4932 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "f10c210fd8ec5bb23b168695dd64cef6" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"language=fr; VUFIND_SESSION=f10c210fd8ec5bb23b168695dd64cef6; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"27666"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2508_10410/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2508_10410/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790894890.4884
REQUEST_TIME	1790894890

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler