×

zbMATH — the first resource for mathematics

Nicolaescu, Liviu I.

Compute Distance To:
Author ID: nicolaescu.liviu-i Recent zbMATH articles by "Nicolaescu, Liviu I."
Published as: Nicolaescu, L.; Nicolaescu, L. I.; Nicolaescu, Liviu; Nicolaescu, Liviu I.
External Links: MGP
Documents Indexed: 69 Publications since 1986, including 9 Books
Reviewing Activity: 80 Reviews
all top 5

Serials

7 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică
4 Gazeta Matematica. Perfectionare Metodica si Metodologica in Matematica si Informatica
3 Studii şi Cercetări Matematice
2 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea Ia. Matematică-Informatică
2 Memoirs of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Differential and Integral Equations
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Communications in Analysis and Geometry
2 Gazeta Matematică. Revistă de Cultură Matematică
2 Universitext
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Advances in Mathematics
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the London Mathematical Society. Second Series
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Ricerche di Matematica
1 Libertas Mathematica
1 Annals of Global Analysis and Geometry
1 Probability Theory and Related Fields
1 Differential Geometry and its Applications
1 Aequationes Mathematicae
1 Stochastic Processes and their Applications
1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Matematică
1 The New York Journal of Mathematics
1 Selecta Mathematica. New Series
1 Bernoulli
1 The Asian Journal of Mathematics
1 Geometry & Topology
1 Communications in Contemporary Mathematics
1 Algebraic & Geometric Topology
1 De Gruyter Studies in Mathematics
1 Graduate Studies in Mathematics
1 Functional Analysis and Other Mathematics
1 Gazeta Matematică. Seria A
1 Bollettino dell’Unione Matematica Italiana

Publications by Year

Citations contained in zbMATH

45 Publications have been cited 365 times in 290 Documents Cited by Year
Lectures on the geometry of manifolds. 2nd ed. Zbl 1155.53001
Nicolaescu, Liviu I.
38
2007
Notes on Seiberg-Witten theory. Zbl 0978.57027
Nicolaescu, Liviu I.
34
2000
Seiberg-Witten invariants and surface singularities. Zbl 1031.32023
Némethi, András; Nicolaescu, Liviu I.
30
2002
The Maslov index, the spectral flow, and decompositions of manifolds. Zbl 0849.58064
Nicolaescu, Liviu I.
30
1995
The Reidemeister torsion of 3-manifolds. Zbl 1024.57002
Nicolaescu, Liviu I.
21
2003
An invitation to Morse theory. 2nd ed. Zbl 1238.57001
Nicolaescu, Liviu I.
16
2011
An invitation to Morse theory. Zbl 1131.57002
Nicolaescu, Liviu I.
14
2007
Generalized symplectic geometries and the index of families of elliptic problems. Zbl 0903.35015
Nicolaescu, Liviu I.
12
1997
Critical sets of random smooth functions on compact manifolds. Zbl 1341.60081
Nicolaescu, Liviu I.
11
2015
Geometric connections and geometric Dirac operators on contact manifolds. Zbl 1077.53017
Nicolaescu, Liviu I.
10
2005
Seiberg-Witten invariants and surface singularities. II: Singularities with good \(\mathbb{C}^*\)-action. Zbl 1061.32021
Némethi, András; Nicolaescu, Liviu I.
10
2004
Adiabatic limits of the Seiberg-Witten equations on Seifert manifolds. Zbl 0937.58025
Nicolaescu, Liviu I.
10
1998
Seiberg-Witten invariants of rational homology 3-spheres. Zbl 1082.57010
Nicolaescu, Liviu I.
9
2004
Finite energy Seiberg-Witten moduli spaces on 4-manifolds bounding Seifert fibrations. Zbl 1001.58004
Nicolaescu, Liviu I.
9
2000
On the space of Fredholm operators. Zbl 1212.58015
Nicolaescu, Liviu I.
8
2007
Seiberg-Witten invariants and surface singularities: splicings and cyclic covers. Zbl 1110.14006
Némethi, András; Nicolaescu, Liviu I.
8
2005
Counting Morse functions on the 2-sphere. Zbl 1146.05004
Nicolaescu, Liviu I.
7
2008
On the cobordism invariance of the index of Dirac operators. Zbl 0894.58069
Nicolaescu, Liviu I.
7
1997
Lectures on the geometry of manifolds. Zbl 0883.53001
Nicolaescu, Liviu I.
7
1996
A weighted semilinear elliptic equation involving critical Sobolev exponents. Zbl 0736.35049
Nicolaescu, Liviu I.
7
1991
Complexity of random smooth functions on compact manifolds. Zbl 1307.58016
Nicolaescu, Liviu I.
6
2014
On a theorem of Henri Cartan concerning the equivariant cohomology. Zbl 0996.57019
Nicolaescu, Liviu I.
6
1999
Eta invariants of Dirac operators on circle bundles over Riemann surfaces and virtual dimensions of finite energy Seiberg-Witten moduli spaces. Zbl 0998.58022
Nicolaescu, Liviu I.
6
1999
The Maslov index, the spectral flow and splittings of manifolds. Zbl 0780.58021
Nicolaescu, Liviu I.
6
1993
Morse functions statistics. Zbl 1153.05301
Nicolaescu, Liviu I.
5
2006
Critical points of multidimensional random Fourier series: central limits. Zbl 1419.60032
Nicolaescu, Liviu I.
3
2018
A CLT concerning critical points of random functions on a Euclidean space. Zbl 1381.60070
Nicolaescu, Liviu I.
3
2017
A stochastic Gauss-Bonnet-Chern formula. Zbl 1346.35140
Nicolaescu, Liviu I.
3
2016
On the normal cycles of subanalytic sets. Zbl 1233.32009
Nicolaescu, Liviu I.
3
2011
On the Cappell-Lee-Miller gluing theorem. Zbl 1062.58030
Nicolaescu, Liviu I.
3
2002
Lattice points inside rational simplices and the Casson invariant of Brieskorn spheres. Zbl 1017.11511
Nicolaescu, Liviu I.
3
2001
Seiberg-Witten invariants of lens spaces. Zbl 1001.57051
Nicolaescu, Liviu I.
3
2001
The Gauss-Bonnet-Chern theorem: a probabilistic perspective. Zbl 1401.35229
Nicolaescu, Liviu I.; Savale, Nikhil
2
2017
Fluctuations of the number of critical points of random trigonometric polynomials. Zbl 1324.42009
Nicolaescu, Liviu I.
2
2013
Tame flows. Zbl 1217.37001
Nicolaescu, Liviu I.
2
2010
On the Reidemeister torsion of rational homology spheres. Zbl 0977.57029
Nicolaescu, Liviu I.
2
2001
The blowup along the diagonal of the spectral function of the Laplacian. Zbl 1354.58028
Nicolaescu, Liviu I.
1
2016
Critical points of multidimensional random Fourier series: variance estimates. Zbl 1347.60032
Nicolaescu, Liviu I.
1
2016
Schubert calculus on the Grassmannian of Hermitian Lagrangian spaces. Zbl 1200.37022
Nicolaescu, Liviu I.
1
2010
Introduction to the theory of mechanisms. Zbl 1326.51018
Nicolaescu, Liviu
1
2009
Eta invariants, spectral flows and finite energy Seiberg-Witten monopoles. Zbl 0952.58020
Nicolaescu, Liviu I.
1
1999
The index of families of boundary value problems for Dirac operators. Zbl 0839.46065
Nicolaescu, Liviu I.
1
1995
Morse theory on Grassmannians. Zbl 0846.58029
Nicolaescu, Liviu I.
1
1994
Radial solutions of some nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0792.35058
Nicolaescu, L. I.
1
1991
An extension of the concentration-compactness lemma of P. L. Lions. Zbl 0759.43001
Nicolaescu, Liviu I.
1
1990
Critical points of multidimensional random Fourier series: central limits. Zbl 1419.60032
Nicolaescu, Liviu I.
3
2018
A CLT concerning critical points of random functions on a Euclidean space. Zbl 1381.60070
Nicolaescu, Liviu I.
3
2017
The Gauss-Bonnet-Chern theorem: a probabilistic perspective. Zbl 1401.35229
Nicolaescu, Liviu I.; Savale, Nikhil
2
2017
A stochastic Gauss-Bonnet-Chern formula. Zbl 1346.35140
Nicolaescu, Liviu I.
3
2016
The blowup along the diagonal of the spectral function of the Laplacian. Zbl 1354.58028
Nicolaescu, Liviu I.
1
2016
Critical points of multidimensional random Fourier series: variance estimates. Zbl 1347.60032
Nicolaescu, Liviu I.
1
2016
Critical sets of random smooth functions on compact manifolds. Zbl 1341.60081
Nicolaescu, Liviu I.
11
2015
Complexity of random smooth functions on compact manifolds. Zbl 1307.58016
Nicolaescu, Liviu I.
6
2014
Fluctuations of the number of critical points of random trigonometric polynomials. Zbl 1324.42009
Nicolaescu, Liviu I.
2
2013
An invitation to Morse theory. 2nd ed. Zbl 1238.57001
Nicolaescu, Liviu I.
16
2011
On the normal cycles of subanalytic sets. Zbl 1233.32009
Nicolaescu, Liviu I.
3
2011
Tame flows. Zbl 1217.37001
Nicolaescu, Liviu I.
2
2010
Schubert calculus on the Grassmannian of Hermitian Lagrangian spaces. Zbl 1200.37022
Nicolaescu, Liviu I.
1
2010
Introduction to the theory of mechanisms. Zbl 1326.51018
Nicolaescu, Liviu
1
2009
Counting Morse functions on the 2-sphere. Zbl 1146.05004
Nicolaescu, Liviu I.
7
2008
Lectures on the geometry of manifolds. 2nd ed. Zbl 1155.53001
Nicolaescu, Liviu I.
38
2007
An invitation to Morse theory. Zbl 1131.57002
Nicolaescu, Liviu I.
14
2007
On the space of Fredholm operators. Zbl 1212.58015
Nicolaescu, Liviu I.
8
2007
Morse functions statistics. Zbl 1153.05301
Nicolaescu, Liviu I.
5
2006
Geometric connections and geometric Dirac operators on contact manifolds. Zbl 1077.53017
Nicolaescu, Liviu I.
10
2005
Seiberg-Witten invariants and surface singularities: splicings and cyclic covers. Zbl 1110.14006
Némethi, András; Nicolaescu, Liviu I.
8
2005
Seiberg-Witten invariants and surface singularities. II: Singularities with good \(\mathbb{C}^*\)-action. Zbl 1061.32021
Némethi, András; Nicolaescu, Liviu I.
10
2004
Seiberg-Witten invariants of rational homology 3-spheres. Zbl 1082.57010
Nicolaescu, Liviu I.
9
2004
The Reidemeister torsion of 3-manifolds. Zbl 1024.57002
Nicolaescu, Liviu I.
21
2003
Seiberg-Witten invariants and surface singularities. Zbl 1031.32023
Némethi, András; Nicolaescu, Liviu I.
30
2002
On the Cappell-Lee-Miller gluing theorem. Zbl 1062.58030
Nicolaescu, Liviu I.
3
2002
Lattice points inside rational simplices and the Casson invariant of Brieskorn spheres. Zbl 1017.11511
Nicolaescu, Liviu I.
3
2001
Seiberg-Witten invariants of lens spaces. Zbl 1001.57051
Nicolaescu, Liviu I.
3
2001
On the Reidemeister torsion of rational homology spheres. Zbl 0977.57029
Nicolaescu, Liviu I.
2
2001
Notes on Seiberg-Witten theory. Zbl 0978.57027
Nicolaescu, Liviu I.
34
2000
Finite energy Seiberg-Witten moduli spaces on 4-manifolds bounding Seifert fibrations. Zbl 1001.58004
Nicolaescu, Liviu I.
9
2000
On a theorem of Henri Cartan concerning the equivariant cohomology. Zbl 0996.57019
Nicolaescu, Liviu I.
6
1999
Eta invariants of Dirac operators on circle bundles over Riemann surfaces and virtual dimensions of finite energy Seiberg-Witten moduli spaces. Zbl 0998.58022
Nicolaescu, Liviu I.
6
1999
Eta invariants, spectral flows and finite energy Seiberg-Witten monopoles. Zbl 0952.58020
Nicolaescu, Liviu I.
1
1999
Adiabatic limits of the Seiberg-Witten equations on Seifert manifolds. Zbl 0937.58025
Nicolaescu, Liviu I.
10
1998
Generalized symplectic geometries and the index of families of elliptic problems. Zbl 0903.35015
Nicolaescu, Liviu I.
12
1997
On the cobordism invariance of the index of Dirac operators. Zbl 0894.58069
Nicolaescu, Liviu I.
7
1997
Lectures on the geometry of manifolds. Zbl 0883.53001
Nicolaescu, Liviu I.
7
1996
The Maslov index, the spectral flow, and decompositions of manifolds. Zbl 0849.58064
Nicolaescu, Liviu I.
30
1995
The index of families of boundary value problems for Dirac operators. Zbl 0839.46065
Nicolaescu, Liviu I.
1
1995
Morse theory on Grassmannians. Zbl 0846.58029
Nicolaescu, Liviu I.
1
1994
The Maslov index, the spectral flow and splittings of manifolds. Zbl 0780.58021
Nicolaescu, Liviu I.
6
1993
A weighted semilinear elliptic equation involving critical Sobolev exponents. Zbl 0736.35049
Nicolaescu, Liviu I.
7
1991
Radial solutions of some nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0792.35058
Nicolaescu, L. I.
1
1991
An extension of the concentration-compactness lemma of P. L. Lions. Zbl 0759.43001
Nicolaescu, Liviu I.
1
1990
all top 5

Cited by 366 Authors

15 Nicolaescu, Liviu I.
12 Némethi, András
7 Booss-Bavnbek, Bernhelm
6 Feehan, Paul M. N.
5 László, Tamás
5 Zhu, Chaofeng
4 Fyodorov, Yan V.
4 Huang, Rung-Tzung
4 Leness, Thomas G.
4 Lesch, Matthias
4 Ruberman, Daniel
4 Waterstraat, Nils
4 Xuan, Benjin
3 Ayala, Rafael
3 Borodzik, Maciej
3 Cibotaru, Daniel Florentiu
3 de Freitas Leão, Rafael
3 Himpel, Benjamin
3 Karakurt, Çağrı
3 Kirk, Paul A.
3 Koda, Yuya
3 Lee, Yoonweon
3 Letendre, Thomas
3 Moroianu, Sergiu
3 Piccione, Paolo
3 Saveliev, Nikolai
3 Vilches, Jose Antonio
2 Akutagawa, Kazuo
2 Ammar, Aymen
2 Arnol’d, Vladimir Igorevich
2 Benedetti, Gabriele
2 Boden, Hans U.
2 Braverman, Maxim
2 Carey, Alan L.
2 Campos de Carvalho, Catarina
2 Dai, Xianzhe
2 Di Cosmo, Fabio
2 Eidam, J. C. Corrêa
2 Fernández-Ternero, Desamparados
2 Fernández, Luis M.
2 Fitzpatrick, Sean
2 Furutani, Kenro
2 Gukov, Sergei
2 Herald, Christopher M.
2 Herrera, Rafael
2 Kadokami, Teruhisa
2 Kang, Jungsoo
2 Klassen, Eric Paul
2 Kordyukov, Yuri A.
2 Latushkin, Yuri
2 Le Doussal, Pierre
2 Lerario, Antonio
2 Lim, Lek-Heng
2 Lundberg, Erik
2 Martínez-Alfaro, José
2 Massuyeau, Gwénaël
2 Meinrenken, Eckhard
2 Meza-Sarmiento, Ingrid S.
2 Muirhead, Stephen
2 Nagy, János
2 Neumann, Walter David
2 Okuma, Tomohiro
2 Oliveira, Regilene D. S.
2 Park, Jinsung
2 Pejsachowicz, Jacobo
2 Pusz, Wiesław
2 Rivera, Alejandro
2 Rumin, Michel
2 Savale, Nikhil
2 Slesar, Vladimir
2 Smilga, Andrei V.
2 Stachura, Piotr
2 Sung, Chanyoung
2 Swoboda, Jan
2 Szilágyi, Zsolt
2 Thiang, Guo Chuan
2 Tsutsumi, Yasuyoshi
2 Vertman, Boris
2 Wahl, Jonathan M.
2 Wainer, Samuel Augusto
2 Wang, Bailing
2 Wojciechowski, Krzysztof P.
2 Wojtkiewicz, Jacek
2 Ye, Ke
2 Zampini, Alessandro
1 Abbondandolo, Alberto
1 Agiorgousis, Michael
1 Akbulut, Selman
1 Albanese, Michael
1 Alekseev, Anton Yu.
1 Altınok, Selma
1 Amann, Herbert
1 Ancona, Michele
1 Andersen, Jørgen Ellegaard
1 Atay, Fatihcan M.
1 Băbălîc, Elena-Mirela
1 Bakry, Dominique
1 Baldridge, Scott Jeremy
1 Banyaga, Augustin
1 Baraglia, David
...and 266 more Authors
all top 5

Cited in 123 Serials

16 Advances in Mathematics
15 Geometry & Topology
14 Journal of Geometry and Physics
12 Transactions of the American Mathematical Society
9 Topology and its Applications
9 Algebraic & Geometric Topology
8 Journal of High Energy Physics
7 Annals of Global Analysis and Geometry
6 Proceedings of the American Mathematical Society
5 Communications in Mathematical Physics
5 Geometriae Dedicata
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 The Journal of Geometric Analysis
4 Duke Mathematical Journal
4 Journal of Differential Equations
4 Journal of Functional Analysis
4 Mathematische Annalen
4 Mathematische Zeitschrift
4 Memoirs of the American Mathematical Society
4 Advances in Applied Clifford Algebras
4 Journal of the European Mathematical Society (JEMS)
3 Journal of Mathematical Physics
3 Letters in Mathematical Physics
3 Annales de l’Institut Fourier
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Nachrichten
3 Proceedings of the London Mathematical Society. Third Series
3 Differential Geometry and its Applications
3 Communications in Contemporary Mathematics
3 International Journal of Geometric Methods in Modern Physics
2 Journal of Mathematical Analysis and Applications
2 Reports on Mathematical Physics
2 Reviews in Mathematical Physics
2 Monatshefte für Mathematik
2 Tokyo Journal of Mathematics
2 SIAM Journal on Matrix Analysis and Applications
2 Indagationes Mathematicae. New Series
2 Journal of Knot Theory and its Ramifications
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Algebraic Geometry
2 Calculus of Variations and Partial Differential Equations
2 Discrete and Continuous Dynamical Systems
2 Annales Henri Poincaré
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 São Paulo Journal of Mathematical Sciences
1 International Journal of Modern Physics A
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Rocky Mountain Journal of Mathematics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin de la Société Mathématique de France
1 Compositio Mathematica
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Optimization Theory and Applications
1 Manuscripta Mathematica
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Transactions of the Moscow Mathematical Society
1 Bulletin of the Korean Mathematical Society
1 Statistics & Probability Letters
1 Chinese Annals of Mathematics. Series B
1 Stochastic Analysis and Applications
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Probability Theory and Related Fields
1 Discrete & Computational Geometry
1 \(K\)-Theory
1 SIAM Journal on Discrete Mathematics
1 Forum Mathematicum
1 International Journal of Mathematics
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Proceedings of the National Academy of Sciences of the United States of America
1 Stochastic Processes and their Applications
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Topology Proceedings
1 Annales Mathématiques Blaise Pascal
1 The Electronic Journal of Combinatorics
1 Selecta Mathematica. New Series
1 Electronic Research Announcements of the American Mathematical Society
1 Sbornik: Mathematics
1 Multibody System Dynamics
1 Revista Matemática Complutense
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Journal of Evolution Equations
1 Portugaliae Mathematica. Nova Série
...and 23 more Serials
all top 5

Cited in 41 Fields

114 Global analysis, analysis on manifolds (58-XX)
105 Manifolds and cell complexes (57-XX)
97 Differential geometry (53-XX)
47 Several complex variables and analytic spaces (32-XX)
38 Algebraic geometry (14-XX)
37 Partial differential equations (35-XX)
24 Quantum theory (81-XX)
23 Dynamical systems and ergodic theory (37-XX)
21 Probability theory and stochastic processes (60-XX)
14 Algebraic topology (55-XX)
13 Operator theory (47-XX)
9 \(K\)-theory (19-XX)
8 Combinatorics (05-XX)
7 Functional analysis (46-XX)
7 Relativity and gravitational theory (83-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Ordinary differential equations (34-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Functions of a complex variable (30-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Convex and discrete geometry (52-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Fluid mechanics (76-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Number theory (11-XX)
2 Topological groups, Lie groups (22-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Group theory and generalizations (20-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year