Article

The theory of n –mixedspinp fields

Author(s): Chang, Huailiang; Guo, Shuai; Li, Jun; Li, Weiping

Source: Geometry and Topology, v. 25, (2), April 2021, p. 775811

Invariants of stable quasimaps with fields

Author(s): Chang, HuaiLiang +CSE; Li, Mun Lin

Source: Transactions of The American Mathematical Society, v. 373, (5), May2020, p. 36693691

A Vanishing Associated with Irregular MSP Fields

Author(s): Chang, Huailiang; Li, Jun

Source: International Mathematics Research Notices, v. 2020, (20), October 2020, p. 73477396

Virtual Residue and an Integral Formalism

Author(s): Chang, Huailiang ; Li, Mulin

Source: Journal of Geometric Analysis, v. 29, (1), January 2019, p. 83104

MixedSpinP fields of Fermat polynomials

Author(s): Chang, Huailiang ; Li, Jun; Li, Weiping; LiU, Melissa ChiuChu

Source: Cambridge Journal of Mathematics, v. 7, (3), September 2019, p. 319364

GenusOne Gromov–Witten Invariants of Quintic Threefolds via MSP Localization

Author(s): Chang, HuaiLiang ; Guo, Shuai; Li, Wei Ping ; Zhou, Jie

Source: International Mathematics Research Notices, 29 August 2018, article number rny201

A Survey on Mixed Spin Pfields

Author(s): Chang, HuaiLiang; Li, Jun; Li, WeiPing; Liu, Chiu Chu Melissa

Source: Chinese Annals of Mathematics. Series B. , v. 38, (4), 2017, p. 869882

Torus Localization and Wall Crossing for Cosection Localized Virtual Cycles

Author(s): Chang, HuaiLiang; Kiem, Young Hoon; Li, Jun

Source: Advances in Mathematics. , v. 308, February 2017, p. 964986

Witten’s top Chern class via cosection localization

Author(s): Chang, HuaiLiang; Li, Jun; Li, Wei Ping

Source: Inventiones Mathematicae. , v. 200, (3), June 2015, p. 10151063

An algebraic proof of the hyperplane property of the genus one GWinvariants of quintics

Author(s): Chang, HuaiLiang; Li, Jun

Source: Journal of Differential Geometry. , v. 100, (2), June 2015, p. 251299

A Vanishing Result for Donaldson Thomas Invariants of P1 Scroll

Author(s): Chang, HuaiLiang

Source: Acta Mathematica Sinica, English Series. , v. 30, (12), December 2014, p. 20792084

Poincaré invariants are Seiberg–Witten invariants

Author(s): Chang, HuaiLiang; Kiem, YoungHoon

Source: Geometry & Topology. , v. 17, (2), 2013, p. 11491163

GromovWitten Invariants of Stable Maps with Fields

Author(s): Chang, HuaiLiang; Li, Jun

Source: International Mathematics Research Notices. , v. 2012, (18), January 2012, p. 41634217

Semiperfect obstruction theory and Donaldson–Thomas invariants of derived objects

Author(s): Chang, HuaiLiang; Li, Jun

Source: Communications in Analysis and Geometry. , v. 19, (4), 2011, p. 807830

Characterization of maps having the KKM property

Author(s): Jeng, JyhChung; Huang, YoungYe; Chang, HuaiLiang

Source: SOOCHOW JOURNAL OF MATHEMATICS. , v. 28, (3), July 2002, p. 329338
Conference paper

On the Mathematics and Physics of Mixed Spin Pfields

Author(s): Chang, HuaiLiang; Li, Jun; Li, WeiPing; Liu, ChiuChu Melissa

Source: Proceedings of Symposia in Pure Mathematics. , v. 96, 2017, p. 5581

MSP fields and Gromov Witten invariants of Quintic Calabi Yau threefold

Author(s): Chang, Huailiang

Landau Ginzburg type theories from algebraic geometry

Author(s): Chang, HuaiLiang

Physics motivation and a fast Introduction to theories of P fields and Spincurves

Author(s): Chang, HuaiLiang

Landau Ginzburg Type Theories from Algebraic Geometry

Author(s): Chang, HuaiLiang

Algebrogeometric approach toward higher genus GW invariants of Quintics

Author(s): Chang, HuaiLiang

On A twisted LandauGinzburg type theory

Author(s): Chang, HuaiLiang; Li, Jun; Li, Wei Ping

Source: Scuola Internazionale Superiore di Studi Avanzati(SISSA), Trieste, Italy. , August 2013

On algebraic geometric construction of enumerative invariants

Author(s): Chang, HuaiLiang

Source: University of Michigan, US. , Feb 2013

Witten's top Chern class revisited

Author(s): Chang, HuaiLiang

Introduction to Gromov Witten and Fan Jarvis Ruan Witten Theory (I,II)

Author(s): Chang, HuaiLiang

Source: Minicourse in differential geometry, National Center for Theoretical Science, Hsinchu, Taiwan. , July, 2012

Introduction to Gromov Witten and FanJarvisRuanWitten theory

Author(s): Chang, HuaiLiang

Source: Kavli Institute for the Physics and Mathematics of the Universe, Tokyo University, Tokyo, Japan. , June 2012

Algebraic geometric construction of GunSharpeWitten model and FanJarvisRuan Witten theory

Author(s): Chang, HuaiLiang

The conference of Mirror Symmetry and Related Topics (MSRT)

Author(s): Chang, HuaiLiang

On Algebrogeometric proof of LiZinger Conjecture for g=1 GromovWitten invariant of Quintic

Author(s): Chang, HuaiLiang; Li, Jun

Source: National Cheng Kung University. , December 2011

Algebraic geometry of Atwsited topological string theory of Landau Ginzburg type

Author(s): Chang, HuaiLiang; Li, Jun

Source: Peking University. , 27 May 2011

Toward Algebraic geometry of Gauged Linear Sigma model in A side

Author(s): Chang, HuaiLiang

Source: Taida Institue for Mathematical Sciences, Taiwan. , January 2011

Introduction to FanJarvisRuanWitten theory

Author(s): Chang, HuaiLiang

Source: Taida Institue for Mathematical Sciences, Taiwan. , January 2011

Algebraic geometry of Atwsited Landau Ginzburg theory

Author(s): Chang, HuaiLiang

Source: National Seoul University. , January 2011

Moduli of stable maps with elds and its applications

Author(s): Chang, HuaiLiang

Source: Workshop on Moduli and Birational Geometry, Pohang, Korea. , July 2011

On Algebrageometric proof of LiZinger Conjecture for g=1 GromovWitten invariant of Quintic CalabiYau threefold

Author(s): Chang, HuaiLiang; Li, Jun

On DonaldsonThomas invariants of P1 scroll

Author(s): Chang, HuaiLiang

Source: YatSen University School of Mathematics and Computational Science, Guangzhou. , July 2010

Toward algebraic geometry behind Gauged Linear Sigma model in all genus

Author(s): Chang, HuaiLiang

Source: InternationalCongress of Chinese Mathematicans, Peking. , December 2010

On genus one Gromov Witten invariant of Quintic threefold

Author(s): Chang, HuaiLiang

Source: Hong Kong Math Society Annual General Meeting. , March 2010

Donaldson Thomas invariants

Author(s): Chang, HuaiLiang

Source: Hong Kong Geometry Colloquium, CUHK. , September 2009
Preprint

The theory of NMixedSpinP fields

Author(s): Chang, Huailiang ; Guo, Shuai; Li, Jun; Liu, Wei Ping Emily

Source: arXiv, Sep 2018, Article number 1809.08806

Polynomial structure of GromovWitten potential of quintic 3folds via NMSP

Author(s): Chang, Huailiang ; Guo, Shuai; Li, Jun

Source: arXiv, Sep 2018, Article number 1809.11058

Algebraic virtual cycles for quantum singularity theories

Author(s): Chang, Huailiang ; Young Hoon Kiem; Jun Li

Source: arXiv, Jun 2018, Article number 1806.00216

A vanishing associated with irregular MSP fields

Author(s): Chang, Huailiang ; Li, Jun

Source: arXiv, Aug 2017, Article number 1708.02902

An Effective Theory of GW and FJRW Invariants of Quintics CalabiYau Manifolds

Author(s): Chang, Huailiang ; Li, Jun; Li, Weiping; Liu, ChiuChu Melissa

Source: arXiv, March 2016, Article number 1603.06184

MixedSpinP fields of Fermat quintic polynomials

Author(s): Chang, HuaiLiang; Li, Jun; Li, Wei Ping; Liu, ChiuChi Melissa

Source: arXiv, Jun 2015, Article number 1505.07532

Derived Kodaira Spencer map, Cosection lemma, and semiregularity

Author(s): Chang, HuaiLiang

Source: arXiv, Sep 2008, Article number 0808.0988
Presentation

An Effective Algorithm for g > 0 GW of Compact CY Threefold

Author(s): Chang, HuaiLiang

Source: Mini Workshop on CalabiYau Geometry, National Cheng Kung University, Tainan, Taiwan, 2425 June 2014

On Gromov Witten theory and FanJarvisRuanWitten theory

Author(s): Chang, HuaiLiang

Source: Miniworkshop on Algebraic Geometry, Department of Mathematics, Sichuan University, China, April 2014

Introduction to Enumerative Geometry for Landau Ginzburg Target Space

Author(s): Chang, HuaiLiang

Source: The University of Hong Kong, March 2014

Reading Seminar on Grothendieck Local Residues

Author(s): Chang, HuaiLiang

Source: National Cheng Kung University, January 2014

Introduction to FJRW theory

Author(s): Chang, HuaiLiang

Source: National Cheng Kung University, January 2014

