Associate Professor Bai-Ling Wang
ANU College of Science
Areas of expertise
- Pure Mathematics 0101
- Algebraic And Differential Geometry 010102
- Mathematical Physics 0105
- Mathematical Aspects Of Quantum And Conformal Field Theory, Quantum Gravity And String Theory 010505
Research interests
- Geometric invariants for singular spaces using pseudo-differential operators on Lie groupoids
- Gauge theory and low dimensional topology (Yang-Mills and Seiberg-Witten theory)
- Symplectic topology (Gromov-Witten, Hamiltonian Gromov-Witten theory)
- Gerbes, D-branes and dualities
Researcher's projects
- virtual techniques in sympletic topology
- Hamiltonian Gromov-Witten theory
- K-theoretical Gromov-Witten theory
- index theory and K-theory for orientifolds
- Donaldson-Floer-Fukaya categories and TQFT
- D-branes and K-homology for singular spaces
Available student projects
- Gauge theory and its application
- Dirac operators and index theory
- Geometry of gerbes and D-branes
- orbifold index theory
- symplectic geometry and symplectic topology
Current student projects
- Donaldson-Floer-Fukaya theory and TQFT
- Lagrangian Floer theory
- sympectic topology and quantum field theory
Past student projects
- geometry of orifolds
- generalized homology
- Dirac operators
- Morse theory
- Lie groups
- differential topology
- Yang-Mills theory
- Chern-Simons theory
Publications
- Wang, B & Wang, H 2016, 'LOCALIZED INDEX AND L-2-LEFSCHETZ FIXED-POINT FORMULA FOR ORBIFOLDS', Journal of Differential Geometry, vol. 102, no. 2, pp. 285-349.
- Rouse, P & Wang, B 2016, 'Geometric Baum-Connes assembly map for twisted Differentiable Stacks', Annales Scientifiques de l'Ecole Normale Superieure, vol. 49, no. 2, pp. 277-323.
- Chen, B, Li, A & Wang, B 2016, 'Gluing principle for orbifold stratified spaces', Geometry Conference on Friendship between China and Japan, 2014, ed. Akito Futaki, Reiko Miyaoka, Zizhou Tang, Weiping Zhang, Springer Japan KK, Japan, pp. 15-57.
- Baum, P, Carey, A & Wang, B 2013, 'K-cycles for twisted K-homology', Journal of K-Theory, vol. 12, no. 1, pp. 69-98.
- Hu, J & Wang, B 2013, 'Delocalized chern character for stringy orbifold K-theory', Transactions of the American Mathematical Society, vol. 365, no. 12, pp. 6309-6341.
- Rouse, P & Wang, B 2011, 'Twisted longitudinal index theorem for foliations and wrong way functoriality', Advances in Mathematics, vol. 226, no. 6, pp. 4933-4986.
- Carey, A & Wang, B 2010, 'Riemann-Roch and index formulae in twisted K-theory', Symposia in Pure Mathematics 2010, American Mathematical Society, USA, pp. 95-132.
- Rouse, P & Wang, B 2010, 'Twisted index theory for foliations [Théorie de l'indice tordue pour des feuilletages]', Academie des Sciences Comptes Rendus: Mathematique, vol. 348, no. 23-24, pp. 1297-1301.
- Carey, A, Wang, B & Mickelsson, J 2009, 'Differential twisted K-theory and applications', Journal of Geometry and Physics, vol. 59, pp. 632-653.
- Carey, A & Wang, B 2008, 'Thom isomorphism and push-forward map in twisted K-theory', Journal of K-Theory, vol. 1, no. 2, pp. 357-393.
- Carey, A & Wang, B 2008, 'Fusion of Symmetric D-Branes and Verlinde Rings', Communications in Mathematical Physics, vol. 277, no. 3, pp. 577-625.
- Wang, B 2008, 'Geometric cycles, index theory and twisted K-homology', Journal of Noncommutative Geometry, vol. 2, no. 4, pp. 497-552.
- Carey, A & Wang, B 2006, 'On the relationship of gerbes to the odd families index theorem', Journal of Geometry and Physics, vol. 57, pp. 23-38.
- Wang, B & Munoz, V 2005, 'Seiberg-Witten-Floer homology of a surface times a circle', Mathematische Nachrichten, vol. 278, no. 7-8, pp. 844-863.
- Carey, A, Johnson, S, Murray, M et al. 2005, 'Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories', Communications in Mathematical Physics, vol. 259, no. 3, pp. 577-613.
- Wang, B & Marcolli, M 2005, 'Variants of Equivariant Seiberg-Witten-Floer Homology', Contemporary Mathematics, vol. 366, pp. 225-238.
- Carey, A, Marcolli, M & Wang, B 2003, 'The geometric triangle for 3-dimensional Seiberg-Witten monopoles', Communications in Contemporary Mathematics, vol. 5, no. 2, pp. 197-250.
- Carey, A & Wang, B 2003, 'Seiberg-Witten-Floer homology and gluing formulae', Acta Mathematica Sinica, vol. 19, no. 2, pp. 245-296.
- Wang, B & Marcolli, M 2002, 'Seiberg-Witten invariant and Casson-Walker invariant for rational homology 3-spheres', Geometriae Dedicata, vol. 91, no. 10, pp. 45-58.
- Wang, B, Booss-Bavnbek, B & Marcolli, M 2002, 'Weak unique continuation principal and perturbed monopole equations', International Journal of Mathematics, vol. 13, no. 9, pp. 987-1008.
- Wang, B & Marcolli, M 2001, 'Equivariant Seiberg-Witten-Floer theory', Communications in Analysis and Geometry, vol. 9, no. 3, pp. 451-640.
