Tian-Jun Li

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A DISSERTATION SUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY Chung-I Ho IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF Doctor of Philosophy

Tian-Jun Li, Weiyi Zhang, Weiwei Wu, 2011 .

Least-energy sign-changing solutions for Kirchhoff–Schrödinger–Poisson systems in R3$\mathbb{R}^{3}$

Da-Bin Wang, Xinan Hao, Tian-Jun Li, 2019, Boundary Value Problems.

Least-energy sign-changing solutions for Kirchhoff–Schrödinger–Poisson systems in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \beg

Da-Bin Wang, Xinan Hao, Tian-Jun Li, 2019, Boundary Value Problems.

Kodaira Dimension in Low Dimensional Topology

Tian-Jun Li, 2015, 1511.04831.

KO-obstructions of non-abelian group action on spin manifolds

Tian-Jun Li, E. Brown, 1997 .

The Space of Symplectic Structures on Closed 4-Manifolds

Tian-Jun Li, 2008, 0805.2931.

The relative symplectic cone and T2-fibrations

Tian-Jun Li, J. Dorfmeister, 2008, 0805.2957.

Circular spherical divisors and their contact topology.

Tian-Jun Li, C. Y. Mak, Jie Min, 2020, 2002.10504.

SYMPLECTIC 4-MANIFOLDS WITH KODAIRA DIMENSION ZERO

Tian-Jun Li, 2006 .

Symplectic Birational Geometry

Tian-Jun Li, Y. Ruan, 2009, 0906.3265.

Birational cobordism invariance of uniruled symplectic manifolds

Tian-Jun Li, Y. Ruan, Jianxun Hu, 2006, math/0611592.

Geography of symplectic 4-manifolds with Kodaira dimension one

Tian-Jun Li, S. Baldridge, 2005, math/0505030.

Minimal genus for 4‐manifolds with b+ = 1

Tian-Jun Li, Bo Dai, Chung-I Ho, 2015, 1501.00235.

Geometric automorphism groups of symplectic 4-manifolds

Tian-Jun Li, Bo Dai, Chung-I Ho, 2014, 1902.09717.

Smooth minimal genera for small negative classes in CP2#nCP2 with n⩽9

Tian-Jun Li, Banghe Li, 2003 .

Symplectic Blowing Down in Dimension Six

Tian-Jun Li, Yong Bin Ruan, Wei Yi Zhang, 2022, Acta Mathematica Sinica, English Series.

Symplectic Parshin-Arakelov Inequality

Tian-Jun Li, 2001, math/0109028.

Supersymmetric SYK model and random matrix theory

Tian-Jun Li, Ye-Ling Zhou, Junyu Liu, 2017, 1702.01738.

On the J-anti-invariant cohomology of almost complex 4-manifolds

Tian-Jun Li, Weiyi Zhang, Tedi Drăghici, 2011, 1104.2511.

Family Seiberg-Witten invariants and wall crossing formulas

Tian-Jun Li, A. Liu, 2001, math/0107211.

Stability and existence of surfaces in symplectic 4-manifolds with b +=1

Tian-Jun Li, Weiwei Wu, J. Dorfmeister, 2014, Journal für die reine und angewandte Mathematik (Crelles Journal).

RELATIVE RUAN AND GROMOV-TAUBES INVARIANTS OF SYMPLECTIC 4-MANIFOLDS

Tian-Jun Li, J. Dorfmeister, 2009, 0912.0651.

Symplectic structure on ruled surfaces and a generalized adjunction formula

Tian-Jun Li, A. Liu, 1995 .

Uniruled Symplectic Divisors

Tian-Jun Li, Y. Ruan, 2013, Communications in Mathematics and Statistics.

Uniruled Symplectic Divisors

Tian-Jun Li, Y. Ruan, 2007, 0711.4254.

Nonorientable Lagrangian surfaces in rational 4–manifolds

Tian-Jun Li, Bo Dai, Chung-I Ho, 2019, Algebraic & Geometric Topology.

Spherical Lagrangians via ball packings and symplectic cutting

M. S. Borman, Tian-Jun Li, Weiwei Wu, 2012, 1211.5952.

Lagrangian spheres, symplectic surfaces and the symplectic mapping class group

Tian-Jun Li, Weiwei Wu, 2010, 1012.4146.

Almost Kähler structures on four dimensional unimodular Lie algebras

Tian-Jun Li, A. Tomassini, 2012, 1203.4331.

Symplectic Torelli groups of rational surfaces

Tian-Jun Li, Weiwei Wu, Jun Li, 2022, 2212.01873.

Symplectic (−2)-spheres and the symplectomorphism group of small rational 4-manifolds

Tian-Jun Li, Jun Li, 2016, Pacific Journal of Mathematics.

Stability of the symplectomorphism group of rational surfaces

Tian-Jun Li, Jun Li, Sílvia Anjos, 2019, 1911.00961.

SMOOTHLY EMBEDDED SPHERES IN SYMPLECTIC 4-MANIFOLDS

Tian-Jun Li, 1999 .

Spherical Lagrangians via ball packings and symplectic cutting

M. S. Borman, Tian-Jun Li, Weiwei Wu, 2013, Selecta Mathematica.

Virtual Betti numbers and virtual symplecticity of 4-dimensional mapping tori

Tian-Jun Li, Yi Ni, 2012, 1211.4245.

Uniqueness of Symplectic Canonical Class, Surface Cone and Symplectic Cone of 4-Manifolds with B+ = 1

Tian-Jun Li, A. Liu, 2000, math/0012048.

General wall crossing formula

Tian-Jun Li, A. Liu, 1995 .

The Equivalence between SW and Gr in the Case Where b+ = 1

Tian-Jun Li, Tian-Jun Li, Ai Ko Liu, 1999 .

Symplectic forms and surfaces of negative square

Michael Usher, Tian-Jun Li, 2006, math/0601540.

Minimality of certain normal connected sums

Tian-Jun Li, A. Stipsicz, 2002 .

Quaternionic bundles and Betti numbers of symplectic 4-manifolds with Kodaira dimension zero

Tian-Jun Li, 2006, math/0612180.

Geometry of symplectic log Calabi-Yau pairs

Tian-Jun Li, C. Y. Mak, C. Mak, 2018, 1805.02196.

The Kodaira Dimension of Contact 3-Manifolds and Geography of Symplectic Fillings

Tian-Jun Li, C. Y. Mak, 2016, International Mathematics Research Notices.

Symplectic log Calabi-Yau surface---deformation class

Tian-Jun Li, C. Y. Mak, 2015, 1510.06131.

Luttinger surgery and Kodaira dimension

Tian-Jun Li, Chung-I Ho, 2011, 1108.0479.

Additivity and Relative Kodaira Dimensions

Tian-Jun Li, Weiyi Zhang, 2009, 0904.4294.

Enumerative aspect of symplectic log Calabi-Yau divisors and almost toric fibrations

Tian-Jun Li, Jie Min, Shengzhen Ning, 2022, 2203.08544.

Symplectic genus, minimal genus and diffeomorphisms

Tian-Jun Li, Banghe Li, 2001, math/0108227.

The minimal genus problem

Tian-Jun Li, J. Dorfmeister, 2022, Acta Mathematica Scientia.

Symplectic log Calabi-Yau surfaces -- contact aspects

Tian-Jun Li, C. Y. Mak, Jie Min, 2020 .

Existence of symplectic surfaces

Tian-Jun Li, 2008, 0812.4929.

Circle-sum and minimal genus surfaces in ruled 4-manifolds

Tian-Jun Li, Banghe Li, 2007 .

Symplectic divisorial capping in dimension $4$

Tian-Jun Li, C. Y. Mak, 2014, Journal of Symplectic Geometry.

Algebraic capacity as tropical polynomial over $c_1$-nef symplectic cone

Tian-Jun Li, Shengzhen Ning, 2023, 2303.12607.

Note on a theorem of Bangert

Tian-Jun Li, 2021 .

Note on a theorem of Bangert

Tian-Jun Li, Weiwei Wu, Tian-Jun Li, 2015, 1509.08128.

Note on a theorem of Bangert

Tian-Jun Li, Weiwei Wu, 2011, Acta Mathematica Sinica, English Series.

Counting curves on elliptic ruled surface

Tian-Jun Li, A. Liu, 2002 .

Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds

Tian-Jun Li, Weiyi Zhang, 2007, 0708.2520.

GENERALIZED GAUSSIAN SUMS CHERN-SIMONS-WITTEN-JONES INVARIANTS OF LEN-SPACES

Tian-Jun Li, Banghe Li, 1996 .

Local geometry of symplectic divisors with applications to contact torus bundles

Tian-Jun Li, Jie Min, Tian-Jun Li, 2021, 2101.05981.

Uniruled Caps and Calabi-Yau Caps

Tian-Jun Li, C. Y. Mak, Kouichi Yasui, 2014 .

Almost toric presentations of symplectic log Calabi-Yau pairs

Tian-Jun Li, Jie Min, Shengzhen Ning, 2023, 2303.09964.

Symplectic Forms and Cohomology Decomposition of almost Complex Four-Manifolds

Tian-Jun Li, Weiyi Zhang, Tedi Drăghici, 2008, 0812.3680.

Calabi–Yau caps, uniruled caps and symplectic fillings

Tian-Jun Li, C. Y. Mak, Kouichi Yasui, 2014, 1412.3208.

The symplectic mapping class group of $\CC P^2 n{\bar{\CC P^2}}$ with $n\leq4$

Tian-Jun Li, Weiwei Wu, Jun Li, 2013, 1310.7329.

Kirby-Melvin’s τ′r and Ohtsuki’s τ for lens spaces

Tian-Jun Li, Banghe Li, 1999 .

Kirby-Melvin's $\tau_r^{'}$ and Ohtsuki's $\tau$ for Lens spaces

Tian-Jun Li, Banghe Li, 1998, math/9807155.

Almost Kähler Forms on Rational 4-Manifolds

Tian-Jun Li, Weiyi Zhang, 2012, 1210.2377.