로그인
ACTIVITIES
Preprints
Home > Activities > Basic Research > Preprints
    Title      l  Lagrangian Floer Superpotentials and Crepant Resolutions for Toric Orbifolds
    Author   l  KWOKWAI CHAN, CHEOL-HYUN CHO, SIU-CHEONG LAU, AND HSIAN-HUA TSENG
    Date   l  2012-08-27
    Category   l  ASARC-Preprint-12-02
    Download    l 1346302299_0.422916.pdf  
We investigate the relationship between the Lagrangian Floer superpotentials
for a toric orbifold and its toric crepant resolutions. More specifically, we study an open
string version of the crepant resolution conjecture (CRC) which states that the Lagrangian
Floer superpotential of a Gorenstein toric orbifold X and that of its toric crepant resolution
Y coincide after analytic continuation of quantum parameters and a change of variables.
Relating this conjecture with the closed CRC, we discover a geometric explanation (in terms
of virtual counting of stable orbi-discs) for the specialization of quantum parameters to roots
of unity which appeared in Y. Ruan’s original CRC [39]. We prove the open CRC for the
weighted projective spaces X = P(1, . . . , 1, n) using an equality between open and closed
orbifold Gromov-Witten invariants. Along the way, we also prove an open mirror theorem
for these toric orbifolds.

Keyword

년도별 리스트보기 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008
File Title Authors Date Category
 On some first sign change problems of modular forms Seokho Jin 2014-11-28 ASARC-Preprint
14-10
 Geometric properties of projective manifolds of small degree Sijong Kwak, Jinhyung Park 2014-09-03 ASARC-Preprint
14-09
 ON ARITHMETIC PROPERTIES OF THE p-UNITS SOOGIL SEO 2014-08-29 ASARC-Preprint
14-08
 Geometric properities of projective manifolds of small degree Sijong Kwak and Jinhyung Park 2014-03-06 ASARC-Preprint
14-07
 Periodic Hamiltonian flows with almost minimality conditions Jin Hong Kim 2014-02-28 ASARC-Preprint
14-06
 ON THE REGULARIZED IMAGINARY DOI-NAGANUMA LIFTING SEOKHO JIN* AND SUBONG LIM 2014-02-27 ASARC-Preprint
14-05
 THE NUMBER OF B3-SETS OF A GIVEN CARDINALITY DOMINGOS DELLAMONICA JR., YOSHIHARU KOHAYAKAWA, SANG JUNE LEE, VOJTECH RODL, AND WOJCIECH SAMOTIJ 2014-02-10 ASARC-Preprint
14-04
 On a generalization of Hirzebruch's theorem to Bott towers Jin Hong Kim 2014-02-06 ASARC-Preprint
14-03
 NUMBER OF NODAL DOMAINS OF EIGENFUNCTIONS ON NON-POSITIVELY CURVED SURFACES WITH CONCAVE BOUNDARY JUNEHYUK JUNG AND STEVE ZELDITCH 14-01-21 ASARC-Preprint
2014-02
 Quantitative quantum ergodicity and the nodal domains of Maass-Hecke cusp forms Junehyuk Jung 2014-01-10 ASARC-Preprint
14-01
 Fourier-Mukai transformation on algebraic cobordism Anandam Banerjee, Thomas Hudson 2013-12-09 ASARC-Preprint
13-13
 On numerical equivalence for algebraic cobordism Anandam Banerjee, Jinhyun Park 2013-12-09 ASARC-Preprint
13-12
 UNIVERSALITY OF RANDOM GRAPHS FOR GRAPHS OF MAXIMUM DEGREE TWO JEONG HAN KIM AND SANG JUNE LEE 2013-10-24 ASARC-Prepint
13-11
 NUMBER OF NODAL DOMAINS AND SINGULAR POINTS OF EIGENFUNCTIONS OF NEGATIVELY CURVED SURFACES WITH AN ISOMETRIC INVOLUTION JUNEHYUK JUNG AND STEVE ZELDITCH 2013-10-21 ASARC-Prepint
13-10
 ON THE NUMBER OF B_h-SETS DOMINGOS DELLAMONICA JR., YOSHIHARU KOHAYAKAWA, SANG JUNE LEE, VOJTECH RODL, AND WOJCIECH SAMOTIJ 2013-10-08 ASARC-Prepint
13-09
 A Thom-Porteous formula for connective K-theory using algebraic cobordism THOMAS HUDSON 2013-10-02 ASARC-Prepint
13-08
 Semi-topologization in motivic homotopy theory and applications Amalendu Krishna and Jinhyun Park 2013-09-30 ASARC-Prepint
13-07
 ON THE TATE MODULE OF A NUMBER FIELD SOOGIL 2013-09-12 ASARC-Prepint
13-06
 ON THE CONJECTURES OF GROSS AND LEOPOLDT SOOGIL SEO 2013-09-12 ASARC-Prepint
13-05
 On the free rank of abelian groups acting freely on products of spheres Jin Hong Kim 2013-09-06 ASARC-Prepint
13-04
123456