Moment Lagrangian correspondences are unobstructed after bulk deformation

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Xiao, Yao
Formato:	Preprint
Publicado:	2024
Materias:	Symplectic Geometry
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Microsheaf composition of Lagrangian correspondences
por: Li, Wenyuan, et al.
Publicado: (2025)

Equivariant Lagrangian correspondence and a conjecture of Teleman
por: Lau, Siu-Cheong, et al.
Publicado: (2023)

Lagrangian Floer theory on Woodward's multiplicity-free $U(2)$-manifolds
por: Xiao, Yao
Publicado: (2026)

Global Darboux coordinates for complete Lagrangian fibrations and an application to the deformation space of $\mathbb{R}\mathbb{P}^2$-structures in genus one
por: Rungi, Nicholas, et al.
Publicado: (2022)

C^0 Lagrangian Monodromy
por: Porcelli, Noah
Publicado: (2024)

Uniqueness of Lagrangians in $T^*RP2$
por: Adaloglou, Nikolaos
Publicado: (2022)

Parameterized Lagrangian Floer homotopy
por: Blakey, Kenneth, et al.
Publicado: (2025)

Contact isotopies in the coherent-constructible correspondence
por: Bose, Jishnu, et al.
Publicado: (2025)

Functoriality of toric coherent-constructible correspondence
por: Sun, Yuze
Publicado: (2025)

Nearby Special Lagrangians
por: Abouzaid, Mohammed, et al.
Publicado: (2021)

Lagrangian Spheres and Cyclic Quotient T-singularities
por: Buck, Matthew R.
Publicado: (2025)

Exact Lagrangians in four-dimensional symplectisations
por: Rizell, Georgios Dimitroglou
Publicado: (2023)

Displacement energy of Lagrangian 3-spheres
por: Sun, Yuhan
Publicado: (2019)

On Lagrangian tori in K3 surfaces
por: Smirnov, Gleb
Publicado: (2022)

Wall-crossing from Lagrangian Cobordisms
por: Hicks, Jeff
Publicado: (2019)

A contact McKay correspondence for links of simple singularities
por: Digiosia, Leo, et al.
Publicado: (2021)

Hofer distance on Lagrangian links inside the disc
por: Trifa, Ibrahim
Publicado: (2024)

Floer homotopy theory and degenerate Lagrangian intersections
por: Blakey, Kenneth
Publicado: (2024)

On the Lagrangian capacity of convex or concave toric domains
por: Pereira, Miguel
Publicado: (2022)

On the topology of Lagrangian fillings of the standard Legendrian sphere
por: Kim, Joontae, et al.
Publicado: (2021)

Lagrangian multi-sections and their toric equivariant mirror
por: Oh, Yong-Geun, et al.
Publicado: (2022)

Kähler metrics and toric Lagrangian fibrations
por: Fernandes, Rui Loja, et al.
Publicado: (2024)

Toric mirror monodromies and Lagrangian spheres
por: Shende, Vivek
Publicado: (2024)

Transversality for perturbed special Lagrangian submanifolds
por: Windes, Emily Autumn
Publicado: (2024)

Extremal Lagrangian tori in toric domains
por: Faisal, Shah
Publicado: (2025)

Cusped hyperbolic Lagrangians as mirrors to lines in three-space
por: Haney, Sebastian
Publicado: (2024)

On the projection of exact Lagrangians in locally conformally symplectic geometry
por: Currier, Adrien
Publicado: (2024)

On singular Lagrangian fibrations and applications to symplectic embeddings I
por: Achig-Andrango, Santiago, et al.
Publicado: (2025)

Comparison of spectral invariants in Lagrangian and Hamiltonian Floer theory
por: Đuretić, Jovana, et al.
Publicado: (2014)

Twisted Sectors for Lagrangian Floer Theory on Symplectic Orbifolds
por: Chen, Bohui, et al.
Publicado: (2023)

Homotopy reduction of multisymplectic structures in Lagrangian field theory
por: Bernardy, Janina
Publicado: (2025)

Aspherical Lagrangian submanifolds, Audin's conjecture and cyclic dilations
por: Li, Yin
Publicado: (2023)

Singular Lagrangian torus fibrations on the smoothing of algebraic cones
por: Achig-Andrango, Santiago
Publicado: (2022)

Fukaya's immersed Lagrangian Floer theory and microlocalization of Fukaya category
por: Oh, Yong-Geun, et al.
Publicado: (2024)

Lagrangian Floer theory, from geometry to algebra and back again
por: Auroux, Denis
Publicado: (2025)

The Legendrian Hopf Link has exactly two Lagrangian fillings
por: Thomson, Bryce
Publicado: (2025)

Variation of GIT and Variation of Lagrangian Skeletons II: Quasi-Symmetric Case
por: Huang, Jesse, et al.
Publicado: (2020)

Families of relatively exact Lagrangians, free loop spaces and generalised homology
por: Porcelli, Noah
Publicado: (2022)

A remark on deformation of Gromov non-squeezing
por: Savelyev, Yasha
Publicado: (2023)

Unobstructed Immersed Lagrangian Correspondence and Filtered $A_{\infty}$ Functor
por: Fukaya, Kenji
Publicado: (2017)

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
ui	"standard"
language	"es"
VUFIND_SESSION	"a5738a277746488b1f7aefb35f6d1152"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790843647.3163 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "a5738a277746488b1f7aefb35f6d1152" ]`]
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	"ui=standard; language=es; VUFIND_SESSION=a5738a277746488b1f7aefb35f6d1152"
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	"32021"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2405_11169/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2405_11169/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790843647.3114
REQUEST_TIME	1790843647

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler