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Nicolaescu, Liviu I.

Author ID: nicolaescu.liviu-i Recent zbMATH articles by "Nicolaescu, Liviu I."
Published as: Nicolaescu, Liviu I.; Nicolaescu, L. I.; Nicolaescu, Liviu; Nicolaescu, L.
External Links: MGP
Documents Indexed: 81 Publications since 1986, including 10 Books and 10 Additional arXiv Preprints
Reviewing Activity: 80 Reviews
Co-Authors: 5 Co-Authors with 7 Joint Publications
73 Co-Co-Authors
all top 5

Serials

7 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
4 Gazeta Matematica. Perfecționare Metodica și Metodologica in Matematica și Informatica
3 Studii și Cercetări Matematice
2 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea 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 American Mathematical Monthly
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 Științifice ale Universității Al. I. Cuza din Iași. 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 Open

45 Publications have been cited 497 times in 412 Documents Cited by Year
Lectures on the geometry of manifolds. 2nd ed. Zbl 1155.53001
Nicolaescu, Liviu I.
60
2007
Notes on Seiberg-Witten theory. Zbl 0978.57027
Nicolaescu, Liviu I.
46
2000
The Reidemeister torsion of 3-manifolds. Zbl 1024.57002
Nicolaescu, Liviu I.
36
2003
Seiberg-Witten invariants and surface singularities. Zbl 1031.32023
Némethi, András; Nicolaescu, Liviu I.
36
2002
An invitation to Morse theory. 2nd ed. Zbl 1238.57001
Nicolaescu, Liviu I.
36
2011
The Maslov index, the spectral flow, and decompositions of manifolds. Zbl 0849.58064
Nicolaescu, Liviu I.
35
1995
An invitation to Morse theory. Zbl 1131.57002
Nicolaescu, Liviu I.
20
2007
Critical sets of random smooth functions on compact manifolds. Zbl 1341.60081
Nicolaescu, Liviu I.
17
2015
Generalized symplectic geometries and the index of families of elliptic problems. Zbl 0903.35015
Nicolaescu, Liviu I.
14
1997
On the space of Fredholm operators. Zbl 1212.58015
Nicolaescu, Liviu I.
12
2007
Seiberg-Witten invariants of rational homology 3-spheres. Zbl 1082.57010
Nicolaescu, Liviu I.
12
2004
Seiberg-Witten invariants and surface singularities. II: Singularities with good \(\mathbb{C}^*\)-action. Zbl 1061.32021
Némethi, András; Nicolaescu, Liviu I.
12
2004
Geometric connections and geometric Dirac operators on contact manifolds. Zbl 1077.53017
Nicolaescu, Liviu I.
11
2005
Adiabatic limits of the Seiberg-Witten equations on Seifert manifolds. Zbl 0937.58025
Nicolaescu, Liviu I.
11
1998
Counting Morse functions on the 2-sphere. Zbl 1146.05004
Nicolaescu, Liviu I.
11
2008
Finite energy Seiberg-Witten moduli spaces on 4-manifolds bounding Seifert fibrations. Zbl 1001.58004
Nicolaescu, Liviu I.
10
2000
Lectures on the geometry of manifolds. Zbl 0883.53001
Nicolaescu, Liviu I.
10
1996
Complexity of random smooth functions on compact manifolds. Zbl 1307.58016
Nicolaescu, Liviu I.
9
2014
Seiberg-Witten invariants and surface singularities: splicings and cyclic covers. Zbl 1110.14006
Némethi, András; Nicolaescu, Liviu I.
9
2005
On the cobordism invariance of the index of Dirac operators. Zbl 0894.58069
Nicolaescu, Liviu I.
8
1997
A weighted semilinear elliptic equation involving critical Sobolev exponents. Zbl 0736.35049
Nicolaescu, Liviu I.
7
1991
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.
7
1999
On a theorem of Henri Cartan concerning the equivariant cohomology. Zbl 0996.57019
Nicolaescu, Liviu I.
7
1999
On the Cappell-Lee-Miller gluing theorem. Zbl 1062.58030
Nicolaescu, Liviu I.
6
2002
The Maslov index, the spectral flow and splittings of manifolds. Zbl 0780.58021
Nicolaescu, Liviu I.
6
1993
A stochastic Gauss-Bonnet-Chern formula. Zbl 1346.35140
Nicolaescu, Liviu I.
5
2016
A CLT concerning critical points of random functions on a Euclidean space. Zbl 1381.60070
Nicolaescu, Liviu I.
5
2017
On the normal cycles of subanalytic sets. Zbl 1233.32009
Nicolaescu, Liviu I.
4
2011
Morse functions statistics. Zbl 1153.05301
Nicolaescu, Liviu I.
4
2006
Seiberg-Witten invariants of lens spaces. Zbl 1001.57051
Nicolaescu, Liviu I.
3
2001
Lattice points inside rational simplices and the Casson invariant of Brieskorn spheres. Zbl 1017.11511
Nicolaescu, Liviu I.
3
2001
Morse theory on Grassmannians. Zbl 0846.58029
Nicolaescu, Liviu I.
3
1994
The Gauss-Bonnet-Chern theorem: a probabilistic perspective. Zbl 1401.35229
Nicolaescu, Liviu I.; Savale, Nikhil
3
2017
Lectures on the geometry of manifolds. 3rd edition. Zbl 1446.53002
Nicolaescu, Liviu I.
3
2020
On the Reidemeister torsion of rational homology spheres. Zbl 0977.57029
Nicolaescu, Liviu I.
2
2001
Tame flows. Zbl 1217.37001
Nicolaescu, Liviu I.
2
2010
Fluctuations of the number of critical points of random trigonometric polynomials. Zbl 1324.42009
Nicolaescu, Liviu I.
2
2013
Critical points of multidimensional random Fourier series: variance estimates. Zbl 1347.60032
Nicolaescu, Liviu I.
2
2016
Schubert calculus on the Grassmannian of Hermitian Lagrangian spaces. Zbl 1200.37022
Nicolaescu, Liviu I.
2
2010
An extension of the concentration-compactness lemma of P. L. Lions. Zbl 0759.43001
Nicolaescu, Liviu I.
1
1990
The index of families of boundary value problems for Dirac operators. Zbl 0839.46065
Nicolaescu, Liviu I.
1
1995
Eta invariants, spectral flows and finite energy Seiberg-Witten monopoles. Zbl 0952.58020
Nicolaescu, Liviu I.
1
1999
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: central limits. Zbl 1419.60032
Nicolaescu, Liviu I.
1
2018
Radial solutions of some nonlinear elliptic equations involving critical Sobolev exponents. Zbl 0792.35058
Nicolaescu, L. I.
1
1991
Lectures on the geometry of manifolds. 3rd edition. Zbl 1446.53002
Nicolaescu, Liviu I.
3
2020
Critical points of multidimensional random Fourier series: central limits. Zbl 1419.60032
Nicolaescu, Liviu I.
1
2018
A CLT concerning critical points of random functions on a Euclidean space. Zbl 1381.60070
Nicolaescu, Liviu I.
5
2017
The Gauss-Bonnet-Chern theorem: a probabilistic perspective. Zbl 1401.35229
Nicolaescu, Liviu I.; Savale, Nikhil
3
2017
A stochastic Gauss-Bonnet-Chern formula. Zbl 1346.35140
Nicolaescu, Liviu I.
5
2016
Critical points of multidimensional random Fourier series: variance estimates. Zbl 1347.60032
Nicolaescu, Liviu I.
2
2016
The blowup along the diagonal of the spectral function of the Laplacian. Zbl 1354.58028
Nicolaescu, Liviu I.
1
2016
Critical sets of random smooth functions on compact manifolds. Zbl 1341.60081
Nicolaescu, Liviu I.
17
2015
Complexity of random smooth functions on compact manifolds. Zbl 1307.58016
Nicolaescu, Liviu I.
9
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.
36
2011
On the normal cycles of subanalytic sets. Zbl 1233.32009
Nicolaescu, Liviu I.
4
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.
2
2010
Counting Morse functions on the 2-sphere. Zbl 1146.05004
Nicolaescu, Liviu I.
11
2008
Lectures on the geometry of manifolds. 2nd ed. Zbl 1155.53001
Nicolaescu, Liviu I.
60
2007
An invitation to Morse theory. Zbl 1131.57002
Nicolaescu, Liviu I.
20
2007
On the space of Fredholm operators. Zbl 1212.58015
Nicolaescu, Liviu I.
12
2007
Morse functions statistics. Zbl 1153.05301
Nicolaescu, Liviu I.
4
2006
Geometric connections and geometric Dirac operators on contact manifolds. Zbl 1077.53017
Nicolaescu, Liviu I.
11
2005
Seiberg-Witten invariants and surface singularities: splicings and cyclic covers. Zbl 1110.14006
Némethi, András; Nicolaescu, Liviu I.
9
2005
Seiberg-Witten invariants of rational homology 3-spheres. Zbl 1082.57010
Nicolaescu, Liviu I.
12
2004
Seiberg-Witten invariants and surface singularities. II: Singularities with good \(\mathbb{C}^*\)-action. Zbl 1061.32021
Némethi, András; Nicolaescu, Liviu I.
12
2004
The Reidemeister torsion of 3-manifolds. Zbl 1024.57002
Nicolaescu, Liviu I.
36
2003
Seiberg-Witten invariants and surface singularities. Zbl 1031.32023
Némethi, András; Nicolaescu, Liviu I.
36
2002
On the Cappell-Lee-Miller gluing theorem. Zbl 1062.58030
Nicolaescu, Liviu I.
6
2002
Seiberg-Witten invariants of lens spaces. Zbl 1001.57051
Nicolaescu, Liviu I.
3
2001
Lattice points inside rational simplices and the Casson invariant of Brieskorn spheres. Zbl 1017.11511
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.
46
2000
Finite energy Seiberg-Witten moduli spaces on 4-manifolds bounding Seifert fibrations. Zbl 1001.58004
Nicolaescu, Liviu I.
10
2000
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.
7
1999
On a theorem of Henri Cartan concerning the equivariant cohomology. Zbl 0996.57019
Nicolaescu, Liviu I.
7
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.
11
1998
Generalized symplectic geometries and the index of families of elliptic problems. Zbl 0903.35015
Nicolaescu, Liviu I.
14
1997
On the cobordism invariance of the index of Dirac operators. Zbl 0894.58069
Nicolaescu, Liviu I.
8
1997
Lectures on the geometry of manifolds. Zbl 0883.53001
Nicolaescu, Liviu I.
10
1996
The Maslov index, the spectral flow, and decompositions of manifolds. Zbl 0849.58064
Nicolaescu, Liviu I.
35
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.
3
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 515 Authors

16 Nicolaescu, Liviu I.
14 Némethi, András
8 Booss-Bavnbek, Bernhelm
8 Feehan, Paul M. N.
6 Waterstraat, Nils
6 Zhu, Chaofeng
5 Cibotaru, Daniel Florentiu
5 Fyodorov, Yan V.
5 László, Tamás
4 Huang, Rung-Tzung
4 Karakurt, Çağrı
4 Leness, Thomas G.
4 Lesch, Matthias
4 Lim, Lek-Heng
4 Moroianu, Sergiu
4 Nakamura, Nobuhiro
4 Ruberman, Daniel
4 Xuan, Benjin
4 Ye, Ke
3 Ayala, Rafael
3 Baraglia, David
3 Borodzik, Maciej
3 Braverman, Maxim
3 de Freitas Leão, Rafael
3 Gukov, Sergei
3 Himpel, Benjamin
3 Kirk, Paul A.
3 Koda, Yuya
3 Le Doussal, Pierre
3 Lee, Yoonweon
3 Letendre, Thomas
3 Lundberg, Erik
3 Martínez-Alfaro, José
3 Meza-Sarmiento, Ingrid Sofia
3 Muirhead, Stephen
3 Oliveira, Regilene D. S.
3 Piccione, Paolo
3 Saveliev, Nikolai
3 Swoboda, Jan
3 Sze-Wai Wong, Ken
3 Tsutsumi, Yasuyoshi
3 Vilches, Jose Antonio
2 Akutagawa, Kazuo
2 Ammar, Aymen
2 Arnol’d, Vladimir Igorevich
2 Baryshnikov, Yuliy M.
2 Beliaev, Dmitri B.
2 Benard, Leo
2 Benedetti, Gabriele
2 Berghoff, Marko
2 Boden, Hans U.
2 Carey, Alan L.
2 Campos de Carvalho, Catarina
2 Conway, Anthony
2 Crâşmăreanu, Mircea
2 Dai, Xianzhe
2 Di Cosmo, Fabio
2 Ebert, Johannes Felix
2 Eidam, José Carlos Corrêa
2 Fernández-Ternero, Desamparados
2 Fernández, Luis M.
2 Fujita, Hajime
2 Furutani, Kenro
2 Gelbukh, Irina
2 Ghrist, Robert W.
2 Güneysu, Batu
2 Hanin, Boris L.
2 Herald, Christopher M.
2 Herrera, Rafael
2 Kadokami, Teruhisa
2 Kang, Jungsoo
2 Kato, Tsuyoshi
2 Khandhawit, Tirasan
2 Kitayama, Takahiro
2 Klassen, Eric Paul
2 Konno, Hokuto
2 Kordyukov, Yuri A.
2 Kurochkin, Sergey Vladimirovich
2 Kydonakis, Georgios
2 Latushkin, Yuri
2 Lerario, Antonio
2 Lim, Johnny
2 Lin, Jianfeng
2 Lipton, Max
2 Macias-Virgós, Enrique
2 Maridakis, Manousos
2 Marinucci, Domenico
2 Massuyeau, Gwénaël
2 Meinrenken, Eckhard
2 Milatovic, Ognjen
2 Nagy, János
2 Neumann, Walter David
2 Okuma, Tomohiro
2 Park, Jinsung
2 Park, Sunghyuk
2 Pejsachowicz, Jacobo
2 Pereira-Sáez, María José
2 Prokhorova, Marina F.
2 Pusz, Wiesław
2 Rivera, Alejandro
...and 415 more Authors
all top 5

Cited in 171 Serials

17 Advances in Mathematics
17 Geometry & Topology
16 Journal of Geometry and Physics
12 Transactions of the American Mathematical Society
10 Topology and its Applications
9 Communications in Mathematical Physics
9 Journal of High Energy Physics
9 Algebraic & Geometric Topology
8 Annals of Global Analysis and Geometry
7 Mathematische Annalen
7 Mathematische Zeitschrift
6 Geometriae Dedicata
6 Mathematische Nachrichten
6 Proceedings of the American Mathematical Society
6 The Journal of Geometric Analysis
6 Journal of the European Mathematical Society (JEMS)
5 Reviews in Mathematical Physics
5 Annales de l’Institut Fourier
5 Journal of Differential Equations
5 Journal of Functional Analysis
5 Memoirs of the American Mathematical Society
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Letters in Mathematical Physics
4 Duke Mathematical Journal
4 Journal für die Reine und Angewandte Mathematik
4 International Journal of Mathematics
4 Differential Geometry and its Applications
4 Geometric and Functional Analysis. GAFA
4 Journal of Knot Theory and its Ramifications
4 Advances in Applied Clifford Algebras
4 Journal of Topology
3 Journal of Mathematical Physics
3 Proceedings of the London Mathematical Society. Third Series
3 Stochastic Processes and their Applications
3 Communications in Contemporary Mathematics
3 Annales Henri Poincaré
3 International Journal of Geometric Methods in Modern Physics
3 Journal of Fixed Point Theory and Applications
2 Israel Journal of Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Mathematical Analysis and Applications
2 Nuclear Physics. B
2 Reports on Mathematical Physics
2 Bulletin de la Société Mathématique de France
2 Canadian Journal of Mathematics
2 Compositio Mathematica
2 Indiana University Mathematics Journal
2 Monatshefte für Mathematik
2 Tokyo Journal of Mathematics
2 Acta Mathematica Hungarica
2 SIAM Journal on Matrix Analysis and Applications
2 Indagationes Mathematicae. New Series
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 Foundations of Computational Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Mediterranean Journal of Mathematics
2 São Paulo Journal of Mathematical Sciences
2 Quantum Topology
2 Winter Braids Lecture Notes
2 Journal of Applied and Computational Topology
1 International Journal of Modern Physics A
1 American Mathematical Monthly
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Classical and Quantum Gravity
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica Vietnamica
1 American Journal of Mathematics
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 of the London Mathematical Society
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Journal of Optimization Theory and Applications
1 Manuscripta Mathematica
1 Mathematika
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 Tôhoku Mathematical Journal. Second Series
1 Transactions of the Moscow Mathematical Society
1 Bulletin of the Korean Mathematical Society
...and 71 more Serials
all top 5

Cited in 46 Fields

162 Global analysis, analysis on manifolds (58-XX)
154 Manifolds and cell complexes (57-XX)
125 Differential geometry (53-XX)
56 Several complex variables and analytic spaces (32-XX)
53 Algebraic geometry (14-XX)
52 Partial differential equations (35-XX)
35 Quantum theory (81-XX)
34 Dynamical systems and ergodic theory (37-XX)
33 Probability theory and stochastic processes (60-XX)
25 Algebraic topology (55-XX)
20 Operator theory (47-XX)
13 Combinatorics (05-XX)
12 \(K\)-theory (19-XX)
10 Functional analysis (46-XX)
10 Statistical mechanics, structure of matter (82-XX)
10 Relativity and gravitational theory (83-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Statistics (62-XX)
6 Topological groups, Lie groups (22-XX)
6 Functions of a complex variable (30-XX)
6 Ordinary differential equations (34-XX)
6 Computer science (68-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Convex and discrete geometry (52-XX)
5 Mechanics of particles and systems (70-XX)
4 Number theory (11-XX)
4 Fluid mechanics (76-XX)
4 Biology and other natural sciences (92-XX)
3 Real functions (26-XX)
3 Measure and integration (28-XX)
3 Geometry (51-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Category theory; homological algebra (18-XX)
2 Group theory and generalizations (20-XX)
2 Potential theory (31-XX)
2 Numerical analysis (65-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year