Valuations on the character variety: Newton polytopes and Residual Poisson Bracket

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Marché, Julien, Simon, Christopher-Lloyd
Format:	Preprint
Veröffentlicht:	2021
Schlagworte:	Geometric Topology
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Automorphisms of character varieties
von: Marché, Julien, et al.
Veröffentlicht: (2019)

Reidemeister torsion of two-bridge knots and signatures of TQFT
von: Marché, Julien, et al.
Veröffentlicht: (2025)

A formula for the volume of two-bridge knots
von: Marche, Julien
Veröffentlicht: (2024)

Knots with large character varieties
von: Choi, Philip, et al.
Veröffentlicht: (2026)

Skein modules of closed 3 manifolds define line bundles over character varieties
von: Korinman, Julien
Veröffentlicht: (2025)

Non-ergodicity on the SU(2)-character varieties
von: Saadi, Fayssal
Veröffentlicht: (2024)

Non-injectivity of the trace map for character varieties
von: Das, Deblina, et al.
Veröffentlicht: (2026)

Pseudo-Anosov action on the $SU(2)$-character variety of $S_2$
von: Saadi, Fayssal
Veröffentlicht: (2025)

The ${\rm SL}(2,\mathbb{C})$-character variety of $8_{18}$
von: Chen, Haimiao
Veröffentlicht: (2025)

Bending Teichmüller spaces and character varieties
von: Baba, Shinpei
Veröffentlicht: (2022)

Triangular decomposition of character varieties
von: Korinman, Julien
Veröffentlicht: (2019)

On compactifications of the SL(2,C) character varieties of punctured surfaces
von: Farajzadeh-Tehrani, Mohammad, et al.
Veröffentlicht: (2023)

Compact connected components in relative character varieties of punctured spheres
von: Tholozan, Nicolas, et al.
Veröffentlicht: (2018)

Farey recursion and the character varieties for 2-bridge knots
von: Chesebro, Eric
Veröffentlicht: (2019)

Neck-Pinching of $CP^1$-structures in the $PSL(2,C)$-character variety
von: Baba, Shinpei
Veröffentlicht: (2019)

Finiteness of integral representations on 2-perfect truncation polytopes
von: Ko, Sunghwan
Veröffentlicht: (2026)

Signature 0 toric varieties, wall crossings, and cross polytope-like structures
von: Park, Soohyun
Veröffentlicht: (2025)

Finite-volume hyperbolic Coxeter 4-dimensional polytopes with 7 facets
von: Ma, Jiming, et al.
Veröffentlicht: (2024)

Psyquandle Brackets
von: Nelson, Sam, et al.
Veröffentlicht: (2025)

Limiting characters at ideal points detecting twice-punctured tori
von: Wang, Yi
Veröffentlicht: (2024)

Representation varieties of RAAGs
von: Bao, Allen, et al.
Veröffentlicht: (2025)

Real spectrum and oriented Gromov equivariant compactifications of character varieties
von: Jaeck, Victor
Veröffentlicht: (2024)

Biquandle Power Brackets
von: Gügümcü, Neslihan, et al.
Veröffentlicht: (2024)

The real spectrum compactification of character varieties
von: Burger, Marc, et al.
Veröffentlicht: (2023)

Algebraic interaction strength for translation surfaces with multiple singularities
von: Boulanger, Julien
Veröffentlicht: (2025)

Quantum holonomic link invariants derived from stated skein algebras
von: Korinman, Julien
Veröffentlicht: (2019)

Residual finiteness of some automorphism groups of high dimensional manifolds
von: Mezher, Fadi
Veröffentlicht: (2024)

Character varieties of even classical pretzel knots
von: Chen, Haimiao
Veröffentlicht: (2018)

Representation varieties and genus-three Torelli maps
von: Bao, Allen, et al.
Veröffentlicht: (2025)

Character varieties of odd classical pretzel knots
von: Chen, Haimiao
Veröffentlicht: (2017)

Classical shadows of stated skein representations at roots of unity
von: Korinman, Julien, et al.
Veröffentlicht: (2019)

Signatures in TQFT : Asymptotics and Modularity
von: Marché, Julien, et al.
Veröffentlicht: (2025)

Small Seifert 3-manifolds with non-reduced $\mathrm{SL}_2(\mathbb{C})$-character scheme
von: Detcherry, Renaud
Veröffentlicht: (2026)

There are no primitive Teichmüller curves in $\Prym(2,2)$
von: Boulanger, Julien, et al.
Veröffentlicht: (2022)

On the local structure of the SL(n,C)-representation variety of knot groups
von: Heusener, Michael, et al.
Veröffentlicht: (2024)

Birack Bracket Quivers and Framed Links
von: Nelson, Sam, et al.
Veröffentlicht: (2025)

On the topology of character varieties of once-punctured torus bundles
von: Tillmann, Stephan, et al.
Veröffentlicht: (2022)

The Kauffman Bracket Skein Module at an irreducible representation
von: Farajzadeh-Tehrani, Mohammad, et al.
Veröffentlicht: (2024)

On $2n+4$ normals conjecture for convex polytopes in $\mathbb{R}^n$
von: Nasonov, Ivan, et al.
Veröffentlicht: (2025)

On Newton polytopes of Lagrangian augmentations
von: Capovilla-Searle, Orsola, et al.
Veröffentlicht: (2023)

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	"de"
VUFIND_SESSION	"9d62e5db7f4302e1efe74578dd4d32e9"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790609573.3974 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "9d62e5db7f4302e1efe74578dd4d32e9" ]`]
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=de; VUFIND_SESSION=9d62e5db7f4302e1efe74578dd4d32e9; 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	"216.73.216.147"
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	"56053"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2104_04340/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2104_04340/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790609573.3928
REQUEST_TIME	1790609573

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler