Ping Xu
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Ping Xumathematics Degrees
Mathematics
#8015
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#10885
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Algebra
#519
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#690
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Measure Theory
#2995
World Rank
#3556
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Mathematics
Ping Xu's Degrees
- PhD Mathematics University of California, Riverside
- Masters Mathematics University of California, Riverside
- Bachelors Mathematics Peking University
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(Suggest an Edit or Addition)Ping Xu's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Manin Triples for Lie Bialgebroids (1995) (684)
- Lie bialgebroids and Poisson groupoids (1994) (406)
- Pseudodifferential operators on differential groupoids (1997) (224)
- Gerstenhaber Algebras and BV-Algebras in Poisson Geometry (1997) (194)
- Differentiable stacks and gerbes (2006) (167)
- Extensions of symplectic groupoids and quantization. (1991) (163)
- Integration of Lie bialgebroids (1997) (158)
- Twisted K theory of differentiable stacks (2003) (154)
- Classical solutions of the quantum Yang-Baxter equation (1992) (126)
- Morita equivalence of Poisson manifolds (1991) (118)
- Fedosov *-Products and Quantum Momentum Maps (1996) (103)
- Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids (2007) (99)
- Classical lifting processes and multiplicative vector fields (1997) (91)
- Dirac Structures and Poisson Homogeneous Spaces (1996) (85)
- On quadratic Poisson structures (1992) (82)
- Noncommutative Poisson Algebras (1994) (77)
- Hochschild cohomology and characteristic classes for star products (1997) (75)
- ON POISSON GROUPOIDS (1995) (74)
- Dirac submanifolds and Poisson involutions (2001) (67)
- Universal lifting theorem and quasi-Poisson groupoids (2005) (63)
- Morita Equivalent Symplectic Groupoids (1991) (61)
- Momentum Maps and Morita Equivalence (2003) (61)
- From Atiyah Classes to Homotopy Leibniz Algebras (2012) (60)
- On Regular Courant Algebroids (2009) (55)
- Poisson Quasi-Nijenhuis Manifolds (2006) (52)
- Poisson cohomology of regular Poisson manifolds (1992) (48)
- Integration of twisted Poisson structures (2003) (47)
- Non-abelian differentiable gerbes (2005) (46)
- Chern character for twisted K-theory of orbifolds (2005) (46)
- Exact lie bialgebroids and poisson groupoids (1996) (45)
- Reduction of generalized complex structures (2005) (45)
- Chern–Weil map for principal bundles over groupoids (2004) (42)
- Integration of holomorphic Lie algebroids (2008) (42)
- Equivariant gerbes over compact simple Lie groups (2003) (38)
- Quantum Dynamical Yang–Baxter Equation¶Over a Nonabelian Base (2001) (37)
- String Topology for Stacks (2007) (37)
- A Class of Integrable Spin Calogero-Moser Systems (2001) (37)
- The Atiyah class of a dg-vector bundle (2015) (36)
- Quantum groupoids and deformation quantization (1997) (36)
- Modular classes of Loday algebroids (2008) (35)
- PSEUDODIFFERENTIAL OPERATORS ON NON-COMPACT MANIFOLDS AND ANALYSIS ON POLYHEDRAL DOMAINS (2004) (34)
- Advances in Geometry (1998) (29)
- Poincaré–Birkhoff–Witt isomorphisms and Kapranov dg-manifolds (2014) (29)
- Triangular Dynamical r-Matrices and Quantization (2000) (28)
- Dirac structures and dynamical $r$-matrices (1999) (28)
- Spin Calogero–Moser systems associated with simple Lie algebras (2000) (28)
- S1-bundles and gerbes over differentiable stacks (2003) (27)
- Quantum Groupoids (1999) (27)
- Poisson 2-groups (2012) (26)
- Quantization of pre-quasi-symplectic groupoids and their Hamiltonian spaces (2005) (22)
- Exponential map and L∞ algebra associated to a Lie pair (2012) (22)
- Morita equivalence and symplectic realizations of Poisson manifolds (1992) (22)
- Poisson cohomology of Del Pezzo surfaces (2010) (21)
- Symplectic groupoids of reduced Poisson spaces (1992) (20)
- Shifted Derived Poisson Manifolds Associated with Lie Pairs (2017) (20)
- The ring structure for equivariant twisted K-theory (2006) (19)
- Weak Lie 2-bialgebras (2011) (16)
- Classical intertwiner space and quantization (1994) (14)
- Poisson Manifolds Associated with Group Actions and Classical Triangular r-Matrices (1993) (13)
- Quantum groupoids associated to universal dynamical R-matrices (1998) (12)
- Flux homomorphism on symplectic groupoids (1996) (12)
- Symplectic realizations of holomorphic Poisson manifolds (2015) (12)
- Formality theorem for differential graded manifolds (2017) (12)
- Lectures on Poisson groupoids (2007) (12)
- Geometry of Maurer-Cartan Elements on Complex Manifolds (2009) (12)
- The Local Structure of Lie Bialgebroids (2002) (11)
- Glanon groupoids (2011) (11)
- Formality and Kontsevich–Duflo type theorems for Lie pairs (2016) (11)
- Weyl quantization of degree 2 symplectic graded manifolds (2014) (11)
- Shifted Poisson Structures on Differentiable Stacks (2018) (11)
- Cohomology of Lie 2-groups (2007) (10)
- Non Abelian differential gerbes (2005) (9)
- String topology for loop stacks (2007) (9)
- Fedosov dg manifolds associated with Lie pairs (2016) (9)
- Atiyah and Todd classes arising from integrable distributions (2017) (8)
- Hamiltonian spaces for Manin pairs over manifolds (2008) (8)
- Polyvector fields and polydifferential operators associated with Lie pairs (2019) (8)
- Hyper-lie poisson structures (1997) (8)
- An elementary proof of Ramanujan’s circular summation formula and its generalizations (2012) (7)
- Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds (2021) (7)
- Higher structures in geometry and physics : in honor of Murray Gerstenhaber and Jim Stasheff (2011) (7)
- Rozansky–Witten-Type Invariants from Symplectic Lie Pairs (2013) (7)
- Integrable spin Calogero-Moser systems (2001) (6)
- A Hopf algebra associated with a Lie pair (2014) (6)
- Dg Manifolds, Formal Exponential Maps and Homotopy Lie Algebras (2021) (5)
- Hochschild Cohomology of dg Manifolds Associated to Integrable Distributions (2021) (5)
- Quantization of Quasi-Presymplectic Groupoids and their Hamiltonian Spaces (2003) (5)
- String product for inertia stacks (2007) (4)
- Formality for g-manifolds (2017) (4)
- Holomorphic Poisson Structures and Groupoids (2007) (4)
- Kapranov DG-manifolds and Poincar{\'e}--Birkhoff--Witt isomorphisms (2016) (4)
- Fedosov dg manifolds and Gerstenhaber algebras associated with Lie pairs (2016) (3)
- An Integral Analogue of Theta Functions and Gauss Sums in Ramanujan's Lost Notebook (2009) (3)
- Derived Differential Geometry (2020) (3)
- Identities involving theta functions and analogues of theta functions (2013) (3)
- Periodic cyclic homology and equivariant gerbes (2015) (2)
- Ramanujan at elementary levels: glimpses (2016) (2)
- Derived Differentiable Manifolds (2020) (2)
- Deformation quantization and quantum groupoids (1997) (2)
- Frobenius structure for inertia stacks (2006) (2)
- Generalized Complex and Poisson Quasi-Nijenhuis Manifolds (2006) (1)
- Kontsevich--Duflo theorem for Lie pairs (2016) (1)
- Book Review: Lectures on the geometry of Poisson manifolds (1996) (1)
- Mini-Workshop: Heterotic Strings, Derived Categories, and Stacks (2005) (1)
- The evaluation of two-dimensional lattice sums via Ramanujan's theta functions (2014) (0)
- Quantization of (-1)-Shifted Derived Poisson Manifolds (2022) (0)
- From Atiyah Classes to Homotopy Leibniz Algebras (2015) (0)
- TWISTED K-THEORY OLD AND NEW 3 General plan of the paper (2007) (0)
- Letters to Alan Weinstein about Courant algebroids (2021) (0)
- Coherent states, inverse mapping formula for Weyl transformations and application to equations of KdV type (1990) (0)
- SG ] 2 4 Ju l 2 00 3 Momentum Maps and Morita Equivalence (2008) (0)
- D G ] 5 F eb 2 01 3 POISSON 2-GROUPS (2018) (0)
- Structure "Hyper-Lie Poisson" (1996) (0)
- Ju l 2 00 4 Momentum Maps and Morita Equivalence (2008) (0)
- Glanon groupoids (2015) (0)
- D G ] 1 9 Ju l 2 00 5 Universal lifting theorem and quasi-Poisson groupoids (2005) (0)
- δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings (2023) (0)
- Dynamical r-Matrices Coupled with Poisson Manifolds (2001) (0)
- Central Extension for the Triangular Derivation Lie Algebra (2012) (0)
- Hyperbolic dimension and Poincaré critical exponent of rational maps (2017) (0)
- Generalized Weyl transformation (1988) (0)
- Rozansky–Witten-Type Invariants from Symplectic Lie Pairs (2014) (0)
- Se p 20 00 Spin Calogero-Moser systems associated with simple Lie algebras ( In memory of Jürgen Moser ) (2000) (0)
- M ar 2 00 8 Reduction of Generalized Complex Structures (2008) (0)
- A remark to Kuiper's theorem (1993) (0)
- Hyperbolic dimension and Poincaré critical exponent of rational maps (2017) (0)
- Poisson-Lie groups and Poisson groupoids (2005) (0)
- An elementary proof of Ramanujan’s circular summation formula and its generalizations (2012) (0)
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What Schools Are Affiliated With Ping Xu?
Ping Xu is affiliated with the following schools:
