Non-isotopic surfaces in $T^4\#(S^2\times S^2)$: an example

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Lin, Jianfeng, Wu, Yue
Natura:	Preprint
Pubblicazione:	2026
Soggetti:	Geometric Topology
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

$π_1$-injective bounding and application to 3- and 4-manifolds
di: Lin, Jianfeng, et al.
Pubblicazione: (2025)

Infinite connected components of the space of symplectic forms on ruled surfaces
di: Lin, Jianfeng, et al.
Pubblicazione: (2025)

Non-smoothable surfaces in the 4-sphere
di: Conway, Anthony, et al.
Pubblicazione: (2026)

Non-loose torus knots in $S^1\times S^2$
di: Huang, Jiaxin, et al.
Pubblicazione: (2025)

Some examples of small irreducible exotic 4-manifolds with free abelian fundamental group
di: Bais, Valentina, et al.
Pubblicazione: (2024)

Flexible exponents of non-geometric 3-manifolds
di: Lin, Jianfeng, et al.
Pubblicazione: (2026)

Colored knot Floer homology: structures and examples
di: Alishahi, Akram, et al.
Pubblicazione: (2025)

On two quotients of $S^2\times S^2$
di: Bianchi, Andrea
Pubblicazione: (2024)

The Non-Orientable 4-Genus of 11 Crossing Non-Alternating Knots
di: Fairchild, Megan
Pubblicazione: (2024)

Shape of filling-systole subspace in surface moduli space and critical points of systole function
di: Gao, Yue
Pubblicazione: (2021)

Flexible Surfaces in $\mathbb{C}P^2$ and $S^2\times S^2$
di: Lehman, Joshua
Pubblicazione: (2026)

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

Exotic diffeomorphisms on $4$-manifolds with $b_2^+ = 2$
di: Qiu, Haochen
Pubblicazione: (2024)

On the mapping class groups of $\mathbb{P}^1$-bundles over $\mathbb{P}^2$
di: Hu, TengLin
Pubblicazione: (2025)

A note on the boundary Dehn twist of $K3$ surfaces
di: Lin, Yujie
Pubblicazione: (2025)

Splitting spheres for unlinked $S^2$'s in $S^4$
di: Tatsuoka, Alison
Pubblicazione: (2025)

Non-orientable genus of a knot in punctured $\mathbb{C}P ^2$
di: Sato, Kouki, et al.
Pubblicazione: (2014)

Loop space decompositions of $(2n-2)$-connected $(4n-1)$-dimensional Poincaré Duality complexes
di: Huang, Ruizhi, et al.
Pubblicazione: (2021)

Simple-stable representations of surface groups in $\mathrm{PU}(2,1)$
di: Remfort-Aurat, Ulysse
Pubblicazione: (2026)

On 2-convex non-orientable surfaces in four-dimensional Euclidean space
di: Bolotov, Dmitry V.
Pubblicazione: (2024)

Equivariant concordance of periodic 2-knots in $S^4$
di: Bohm, Remy
Pubblicazione: (2025)

Equivalent genus-2 factorizations of type (4, 3)
di: Huang, Evan
Pubblicazione: (2026)

Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds
di: Torres, Rafael
Pubblicazione: (2020)

On the homotopy type of the space of fiberings of $S^1 \times S^2$ by simple closed curves
di: Wang, Yi, et al.
Pubblicazione: (2024)

$\mathbb{Z}_2$-Thurston norm in Sol manifolds and embeddability of non-orientable surfaces
di: Du, Xiaoming, et al.
Pubblicazione: (2026)

Brunnian spanning 3-disks for the 2-unlink in the 4-sphere
di: Niu, Weizhe
Pubblicazione: (2026)

Refined Bobtcheva-Messia Invariants of 4-Dimensional 2-Handlebodies
di: Beliakova, Anna, et al.
Pubblicazione: (2022)

Extendable mapping classes of knotted surfaces obtained by rim surgery in $S^4$
di: Niu, Weizhe
Pubblicazione: (2026)

On biquandle-based invariant of immersed surface-links, Yoshikawa oriented fifth move, and ribbon 2-knots
di: Jablonowski, Michal
Pubblicazione: (2025)

Is every knot isotopic to the unknot?
di: Melikhov, Sergey A.
Pubblicazione: (2024)

Closure of knitted surfaces and surface-links
di: Nakamura, Inasa, et al.
Pubblicazione: (2024)

A construction of surface skein TQFTs and their extension to 4-dimensional 2-handlebodies
di: Goertz, Leon J.
Pubblicazione: (2025)

On the classification of 2-plat 2-knots
di: Yasuda, Jumpei
Pubblicazione: (2025)

$\mathbb Z_{/p}\times \mathbb Z_{/p}$ actions on $S^n\times S^n$
di: Fowler, Jim, et al.
Pubblicazione: (2019)

Non-cobordant hyperbolic manifolds
di: Chen, Jacopo G.
Pubblicazione: (2025)

Non collapse of the Sinha spectral sequence for knots in R^3
di: Marino, Andrea, et al.
Pubblicazione: (2025)

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

A 2-torsion invariant of 2-knots
di: Budney, Ryan
Pubblicazione: (2025)

Covers of surfaces
di: Biringer, Ian, et al.
Pubblicazione: (2024)

Abelian covers of surfaces and the homology of the Torelli group
di: Minahan, Daniel, et al.
Pubblicazione: (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
VUFIND_SESSION	"df2d858ae13d18420aaa35382b8b8c4b"
language	"it"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790990266.281 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "df2d858ae13d18420aaa35382b8b8c4b" ]`]
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	"VUFIND_SESSION=df2d858ae13d18420aaa35382b8b8c4b; language=it; 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	"30674"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2604_05805/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2604_05805/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790990266.2765
REQUEST_TIME	1790990266

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler