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## Kobayashi, Tsuyoshi

Compute Distance To:
 Author ID: kobayashi.tsuyoshi Published as: Kobayashi, T.; Kobayashi, Tsuyoshi Homepage: http://www.nara-wu.ac.jp/math/personal/tsuyoshi/index.htm
 Documents Indexed: 61 Publications since 1983
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#### Co-Authors

 25 single-authored 12 Rieck, Yo’av 4 Jang, Yeonhee 3 Heath, Daniel J. 3 Hirasawa, Mikami 3 Ido, Ayako 2 Murai, Hiroko 2 Qiu, Ruifeng 2 Umeda, Saki 1 Baker, Kenneth L. 1 Brittenham, Mark 1 Funakoshi, Yukari 1 Furihata, Rei 1 Hashizume, Megumi 1 Hayashi, Chuichiro 1 Ichihara, Kazuhiro 1 Irii, Miki 1 Ito, Noboru 1 Kawauchi, Akio 1 Kobayashi, Masako 1 Murakami, Hitoshi 1 Murakami, Jun 1 Nishi, Haruko 1 Ozawa, Makoto 1 Saeki, Osamu 1 Saito, Toshio 1 Sakuma, Makoto 1 Shimokawa, Koya 1 Takao, Kazuto 1 Wang, Shi Cheng
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#### Serials

 9 Osaka Journal of Mathematics 7 Topology and its Applications 4 Proceedings of the American Mathematical Society 4 Journal of Knot Theory and its Ramifications 3 Pacific Journal of Mathematics 3 Proceedings of the Japan Academy. Series A 3 Kobe Journal of Mathematics 3 Communications in Analysis and Geometry 3 Algebraic & Geometric Topology 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Japanese Journal of Mathematics. New Series 1 Bulletin of the London Mathematical Society 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Geometry & Topology 1 RIMS Kokyuroku 1 JP Journal of Geometry and Topology
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#### Fields

 56 Manifolds and cell complexes (57-XX) 5 Dynamical systems and ergodic theory (37-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

50 Publications have been cited 318 times in 223 Documents Cited by Year
The amalgamation of high distance Heegaard splittings is always efficient. Zbl 1140.57012
Kobayashi, Tsuyoshi; Qiu, Ruifeng
2008
Separating incompressible surfaces and stabilizations of Heegaard splittings. Zbl 1062.57028
Kobayashi, Tsuyoshi; Qiu, Ruifeng; Rieck, Yo’av; Wang, Shicheng
2004
A construction of arbitrarily high degeneration of tunnel numbers of knots under connected sum. Zbl 0818.57006
Kobayashi, Tsuyoshi
1994
Heegaard splittings of distance exactly $$n$$. Zbl 1297.57029
Ido, Ayako; Jang, Yeonhee; Kobayashi, Tsuyoshi
2014
The Rubinstein-Scharlemann graphic of a 3-manifold as the discriminant set of a stable map. Zbl 1019.57010
Kobayashi, Tsuyoshi; Saeki, Osamu
2000
Heights of simple loops and pseudo-Anosov homeomorphisms. Zbl 0663.57010
Kobayashi, Tsuyoshi
1988
Structures of the Haken manifolds with Heegaard splittings of genus two. Zbl 0568.57007
Kobayashi, Tsuyoshi
1984
Heegaard genus of the connected sum of $$m$$-small knots. Zbl 1113.57006
Kobayashi, Tsuyoshi; Rieck, Yo’av
2006
Heegaard splittings of exteriors of two bridge knots. Zbl 1002.57008
Kobayashi, Tsuyoshi
2001
On canonical genus and free genus of knot. Zbl 0859.57009
Kobayashi, Masako; Kobayashi, Tsuyoshi
1996
Classification of unknotting tunnels for two bridge knots. Zbl 0962.57003
Kobayashi, Tsuyoshi
1999
Essential tangle decomposition from thin position of a link. Zbl 0887.57012
Heath, Daniel J.; Kobayashi, Tsuyoshi
1997
Minimal genus Seifert surfaces for unknotting number 1 knots. Zbl 0688.57007
Kobayashi, Tsuyoshi
1989
Uniqueness of minimal genus Seifert surfaces for links. Zbl 0684.57001
Kobayashi, Tsuyoshi
1989
Knot exteriors with additive Heegaard genus and Morimoto’s conjecture. Zbl 1149.57009
Kobayashi, Tsuyoshi; Rieck, Yo’av
2008
A criterion for detecting inequivalent tunnels for a knot. Zbl 0714.57002
Kobayashi, Tsuyoshi
1990
Casson-Gordon’s rectangle condition of Heegaard diagrams and incompressible tori in 3-manifolds. Zbl 0709.57009
Kobayashi, Tsuyoshi
1988
Cyclotomic invariants for links. Zbl 0668.57013
Kobayashi, Tsuyoshi; Murakami, Hitoshi; Murakami, Jun
1988
A linear bound on the tetrahedral number of manifolds of bounded volume (after Jørgensen and Thurston). Zbl 1335.57028
Kobayashi, Tsuyoshi; Rieck, Yo’av
2011
On the growth rate of the tunnel number of knots. Zbl 1168.57007
Kobayashi, Tsuyoshi; Rieck, Yo’av
2006
Knots with $$g(E(K))=2$$ and $$g(E(K\#K\#K))=6$$ and Morimoto’s conjecture. Zbl 1165.57008
Kobayashi, Tsuyoshi; Rieck, Yo’av
2009
Seifert surfaces in open books, and a new coding algorithm for links. Zbl 1138.57002
Furihata, Rei; Hirasawa, Mikami; Kobayashi, Tsuyoshi
2008
A construction of 3-manifolds whose homeomorphism classes of Heegaard splittings have polynomial growth. Zbl 0785.57005
Kobayashi, Tsuyoshi
1992
Structures of full Haken manifolds. Zbl 0665.57010
Kobayashi, Tsuyoshi
1987
On keen Heegaard splittings. Zbl 1423.57039
Ido, Ayako; Jang, Yeonhee; Kobayashi, Tsuyoshi
2018
Links of homeomorphisms of a disk and topological entropy. Zbl 0585.57005
Kobayashi, Tsuyoshi
1985
Non-separating incompressible tori in 3-manifolds. Zbl 0519.57010
Kobayashi, Tsuyoshi
1984
Destabilizing Heegaard splittings of knot exteriors. Zbl 1186.57016
Kobayashi, Tsuyoshi; Saito, Toshio
2010
Fibered links which are band connected sum of two links. Zbl 0763.57005
Kobayashi, Tsuyoshi
1992
Fibered links and unknotting operations. Zbl 0713.57004
Kobayashi, Tsuyoshi
1989
Primitive links of non-singular Morse-Smale flows on the special Seifert fibered manifolds. Zbl 0567.58019
Kobayashi, Tsuyoshi
1985
A design for pseudo-Anosov braids using hypotrochoid curves. Zbl 1422.76006
Kobayashi, Tsuyoshi; Umeda, Saki
2010
Realizing pseudo-Anosov egg beaters with simple mechanisms. Zbl 1231.70003
Kobayashi, Tsuyoshi; Umeda, Saki
2007
Locally thin position for a link. Zbl 1074.57006
Heath, Daniel J.; Kobayashi, Tsuyoshi
2003
A necessary and sufficient condition for a 3-manifold to have genus $$g$$ Heegaard splitting (a proof of Hass-Thompson conjecture). Zbl 0822.57014
Kobayashi, Tsuyoshi; Nishi, Haruko
1994
Links of homeomorphisms of surfaces and topological entropy. Zbl 0567.58020
Kobayashi, Tsuyoshi
1984
A distance on the equivalence classes of spherical curves generated by deformations of type RI. Zbl 1404.57009
Funakoshi, Yukari; Hashizume, Megumi; Ito, Noboru; Kobayashi, Tsuyoshi; Murai, Hiroko
2018
The growth rate of the tunnel number of $$m$$-small knots. Zbl 1395.57026
Kobayashi, Tsuyoshi; Rieck, Yo’av
2018
The spectrum of the growth rate of the tunnel number is infinite. Zbl 1348.57005
Baker, Kenneth L.; Kobayashi, Tsuyoshi; Rieck, Yo’av
2016
A knot with destabilized bridge spheres of arbitrarily high bridge number. Zbl 1341.57004
Jang, Yeonhee; Kobayashi, Tsuyoshi; Ozawa, Makoto; Takao, Kazuto
2016
Bridge splittings of links with distance exactly $$n$$. Zbl 1337.57048
Ido, Ayako; Jang, Yeonhee; Kobayashi, Tsuyoshi
2015
Hyperbolic volume and Heegaard distance. Zbl 1301.57012
Kobayashi, Tsuyoshi; Rieck, Yo’av
2014
Manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings. Zbl 1235.57014
Kobayashi, Tsuyoshi; Rieck, Yo’av
2009
A search method for thin positions of links. Zbl 1086.57005
Heath, Daniel J.; Kobayashi, Tsuyoshi
2005
Local detection of strongly irreducible Heegaard splittings via knot exteriors. Zbl 1055.57029
Kobayashi, Tsuyoshi; Rieck, Yo’av
2004
Pre-taut sutured manifolds and essential laminations. Zbl 1025.57027
Hirasawa, Mikami; Kobayashi, Tsuyoshi
2001
Generalized unknotting operations and tangle decompositions. Zbl 0666.57013
Kobayashi, Tsuyoshi
1989
Pseudo-Anosov homeomorphisms which extend to orientation reversing homeomorphisms of $$S^ 3$$. Zbl 0653.57003
Kobayashi, Tsuyoshi
1987
Homeomorphisms of 3-manifolds and topological entropy. Zbl 0596.57022
Kobayashi, Tsuyoshi
1985
Equivariant annulus theorem for 3-manifolds. Zbl 0569.57023
Kobayashi, Tsuyoshi
1983
On keen Heegaard splittings. Zbl 1423.57039
Ido, Ayako; Jang, Yeonhee; Kobayashi, Tsuyoshi
2018
A distance on the equivalence classes of spherical curves generated by deformations of type RI. Zbl 1404.57009
Funakoshi, Yukari; Hashizume, Megumi; Ito, Noboru; Kobayashi, Tsuyoshi; Murai, Hiroko
2018
The growth rate of the tunnel number of $$m$$-small knots. Zbl 1395.57026
Kobayashi, Tsuyoshi; Rieck, Yo’av
2018
The spectrum of the growth rate of the tunnel number is infinite. Zbl 1348.57005
Baker, Kenneth L.; Kobayashi, Tsuyoshi; Rieck, Yo’av
2016
A knot with destabilized bridge spheres of arbitrarily high bridge number. Zbl 1341.57004
Jang, Yeonhee; Kobayashi, Tsuyoshi; Ozawa, Makoto; Takao, Kazuto
2016
Bridge splittings of links with distance exactly $$n$$. Zbl 1337.57048
Ido, Ayako; Jang, Yeonhee; Kobayashi, Tsuyoshi
2015
Heegaard splittings of distance exactly $$n$$. Zbl 1297.57029
Ido, Ayako; Jang, Yeonhee; Kobayashi, Tsuyoshi
2014
Hyperbolic volume and Heegaard distance. Zbl 1301.57012
Kobayashi, Tsuyoshi; Rieck, Yo’av
2014
A linear bound on the tetrahedral number of manifolds of bounded volume (after Jørgensen and Thurston). Zbl 1335.57028
Kobayashi, Tsuyoshi; Rieck, Yo’av
2011
Destabilizing Heegaard splittings of knot exteriors. Zbl 1186.57016
Kobayashi, Tsuyoshi; Saito, Toshio
2010
A design for pseudo-Anosov braids using hypotrochoid curves. Zbl 1422.76006
Kobayashi, Tsuyoshi; Umeda, Saki
2010
Knots with $$g(E(K))=2$$ and $$g(E(K\#K\#K))=6$$ and Morimoto’s conjecture. Zbl 1165.57008
Kobayashi, Tsuyoshi; Rieck, Yo’av
2009
Manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings. Zbl 1235.57014
Kobayashi, Tsuyoshi; Rieck, Yo’av
2009
The amalgamation of high distance Heegaard splittings is always efficient. Zbl 1140.57012
Kobayashi, Tsuyoshi; Qiu, Ruifeng
2008
Knot exteriors with additive Heegaard genus and Morimoto’s conjecture. Zbl 1149.57009
Kobayashi, Tsuyoshi; Rieck, Yo’av
2008
Seifert surfaces in open books, and a new coding algorithm for links. Zbl 1138.57002
Furihata, Rei; Hirasawa, Mikami; Kobayashi, Tsuyoshi
2008
Realizing pseudo-Anosov egg beaters with simple mechanisms. Zbl 1231.70003
Kobayashi, Tsuyoshi; Umeda, Saki
2007
Heegaard genus of the connected sum of $$m$$-small knots. Zbl 1113.57006
Kobayashi, Tsuyoshi; Rieck, Yo’av
2006
On the growth rate of the tunnel number of knots. Zbl 1168.57007
Kobayashi, Tsuyoshi; Rieck, Yo’av
2006
A search method for thin positions of links. Zbl 1086.57005
Heath, Daniel J.; Kobayashi, Tsuyoshi
2005
Separating incompressible surfaces and stabilizations of Heegaard splittings. Zbl 1062.57028
Kobayashi, Tsuyoshi; Qiu, Ruifeng; Rieck, Yo’av; Wang, Shicheng
2004
Local detection of strongly irreducible Heegaard splittings via knot exteriors. Zbl 1055.57029
Kobayashi, Tsuyoshi; Rieck, Yo’av
2004
Locally thin position for a link. Zbl 1074.57006
Heath, Daniel J.; Kobayashi, Tsuyoshi
2003
Heegaard splittings of exteriors of two bridge knots. Zbl 1002.57008
Kobayashi, Tsuyoshi
2001
Pre-taut sutured manifolds and essential laminations. Zbl 1025.57027
Hirasawa, Mikami; Kobayashi, Tsuyoshi
2001
The Rubinstein-Scharlemann graphic of a 3-manifold as the discriminant set of a stable map. Zbl 1019.57010
Kobayashi, Tsuyoshi; Saeki, Osamu
2000
Classification of unknotting tunnels for two bridge knots. Zbl 0962.57003
Kobayashi, Tsuyoshi
1999
Essential tangle decomposition from thin position of a link. Zbl 0887.57012
Heath, Daniel J.; Kobayashi, Tsuyoshi
1997
On canonical genus and free genus of knot. Zbl 0859.57009
Kobayashi, Masako; Kobayashi, Tsuyoshi
1996
A construction of arbitrarily high degeneration of tunnel numbers of knots under connected sum. Zbl 0818.57006
Kobayashi, Tsuyoshi
1994
A necessary and sufficient condition for a 3-manifold to have genus $$g$$ Heegaard splitting (a proof of Hass-Thompson conjecture). Zbl 0822.57014
Kobayashi, Tsuyoshi; Nishi, Haruko
1994
A construction of 3-manifolds whose homeomorphism classes of Heegaard splittings have polynomial growth. Zbl 0785.57005
Kobayashi, Tsuyoshi
1992
Fibered links which are band connected sum of two links. Zbl 0763.57005
Kobayashi, Tsuyoshi
1992
A criterion for detecting inequivalent tunnels for a knot. Zbl 0714.57002
Kobayashi, Tsuyoshi
1990
Minimal genus Seifert surfaces for unknotting number 1 knots. Zbl 0688.57007
Kobayashi, Tsuyoshi
1989
Uniqueness of minimal genus Seifert surfaces for links. Zbl 0684.57001
Kobayashi, Tsuyoshi
1989
Fibered links and unknotting operations. Zbl 0713.57004
Kobayashi, Tsuyoshi
1989
Generalized unknotting operations and tangle decompositions. Zbl 0666.57013
Kobayashi, Tsuyoshi
1989
Heights of simple loops and pseudo-Anosov homeomorphisms. Zbl 0663.57010
Kobayashi, Tsuyoshi
1988
Casson-Gordon’s rectangle condition of Heegaard diagrams and incompressible tori in 3-manifolds. Zbl 0709.57009
Kobayashi, Tsuyoshi
1988
Cyclotomic invariants for links. Zbl 0668.57013
Kobayashi, Tsuyoshi; Murakami, Hitoshi; Murakami, Jun
1988
Structures of full Haken manifolds. Zbl 0665.57010
Kobayashi, Tsuyoshi
1987
Pseudo-Anosov homeomorphisms which extend to orientation reversing homeomorphisms of $$S^ 3$$. Zbl 0653.57003
Kobayashi, Tsuyoshi
1987
Links of homeomorphisms of a disk and topological entropy. Zbl 0585.57005
Kobayashi, Tsuyoshi
1985
Primitive links of non-singular Morse-Smale flows on the special Seifert fibered manifolds. Zbl 0567.58019
Kobayashi, Tsuyoshi
1985
Homeomorphisms of 3-manifolds and topological entropy. Zbl 0596.57022
Kobayashi, Tsuyoshi
1985
Structures of the Haken manifolds with Heegaard splittings of genus two. Zbl 0568.57007
Kobayashi, Tsuyoshi
1984
Non-separating incompressible tori in 3-manifolds. Zbl 0519.57010
Kobayashi, Tsuyoshi
1984
Links of homeomorphisms of surfaces and topological entropy. Zbl 0567.58020
Kobayashi, Tsuyoshi
1984
Equivariant annulus theorem for 3-manifolds. Zbl 0569.57023
Kobayashi, Tsuyoshi
1983
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#### Cited by 197 Authors

 17 Kobayashi, Tsuyoshi 13 Lei, Fengchun 12 Qiu, Ruifeng 10 Du, Kun 9 Li, Fengling 9 Rieck, Yo’av 8 Moriah, Yoav 8 Yang, Guoqiu 7 Morimoto, Kanji 7 Ozawa, Makoto 6 Jang, Yeonhee 6 Lee, Junghoon 6 Liang, Liang 6 Scharlemann, Martin G. 5 Johnson, Jesse Edward 5 Kim, Dongseok 5 Li, Tao 5 Saito, Toshio 5 Schleimer, Saul 5 Sedgwick, Eric 5 Tomova, Maggy 4 Eudave-Muñoz, Mario 4 Ido, Ayako 4 Koda, Yuya 4 Ma, Jiming 4 Stoimenow, Alexander 4 Takao, Kazuto 4 Zou, Yanqing 3 Cho, Sangbum 3 Sakuma, Makoto 3 Shimokawa, Koya 2 Bachman, David 2 Baker, Kenneth L. 2 Bannai, Etsuko 2 Blair, Ryan C. 2 Cerchiai, Bianca Letizia 2 Gao, Xutao 2 Goda, Hiroshi 2 Gordon, Cameron McA. 2 Guo, Qilong 2 Heath, Daniel J. 2 Hirasawa, Mikami 2 Ichihara, Kazuhiro 2 Ishihara, Kai 2 Jang, Hee Jeong 2 Johannson, Klaus 2 Juhász, András 2 Lee, Jaeun 2 Lee, Sang Youl 2 Lee, Sangyop 2 Lustig, Martin 2 Maher, Joseph 2 Martellini, Maurizio 2 Martínez-Alfaro, José 2 McCullough, Darryl 2 Minsky, Yair N. 2 Miyazaki, Katura 2 Motegi, Kimihiko 2 Shackleton, Kenneth J. 2 Song, Hyun-Jong 2 Taylor, Scott A. 2 Vindel, Pura 2 Weidmann, Richard 2 Zhang, Mingxing 2 Zupan, Alexander 1 Abrams, Aaron 1 Armas-Sanabria, Lorena 1 Bang, Je-Jun 1 Banks, Jessica E. 1 Bannai, Eiichi 1 Barrera-Rodriguez, Carlos 1 Borodzik, Maciej 1 Boyland, Philip L. 1 Buck, Dorothy 1 Bumagina, Inna 1 Campos, Beatriz 1 Cattabriga, Alessia 1 Cavicchioli, Alberto 1 Chernov, Vladimir V. 1 Cho, Hyeran 1 Choi, Dooho 1 Choi, Yoon Ho 1 Chrisman, Micah Whitney 1 Chung, Yun Ki 1 Cordero, Alicia 1 Cotta-Ramusino, Paolo 1 Darcy, Isabel K. 1 Derby-Talbot, Ryan 1 Deruelle, Arnaud 1 Do, Jun-Ho 1 E., Qiang 1 Easson, Vivien R. 1 Evans, Tatiana 1 Fel’shtyn, Alexander 1 Finkelstein, Elizabeth 1 Friedl, Stefan 1 Gambaudo, Jean-Marc 1 Ghrist, Robert W. 1 Glenn, Paul G. 1 Greene, Joshua Evan ...and 97 more Authors
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#### Cited in 51 Serials

 47 Topology and its Applications 35 Journal of Knot Theory and its Ramifications 29 Algebraic & Geometric Topology 12 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 10 Geometry & Topology 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Osaka Journal of Mathematics 5 Science China. Mathematics 4 Geometriae Dedicata 4 Mathematische Annalen 3 Communications in Mathematical Physics 3 Chaos, Solitons and Fractals 3 Advances in Mathematics 3 Journal of the Mathematical Society of Japan 2 Journal of Statistical Physics 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Bulletin of the Korean Mathematical Society 2 Journal of the American Mathematical Society 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Acta Mathematica Sinica. English Series 2 Korean Journal of Mathematics 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 The Mathematical Intelligencer 1 Duke Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Statistical Planning and Inference 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Journal of Symbolic Computation 1 Sugaku Expositions 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Algebraic Combinatorics 1 Physical Review Letters 1 Dynamical Systems 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Groups, Geometry, and Dynamics 1 Journal of Topology 1 Journal of Topology and Analysis 1 Journal of Singularities
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#### Cited in 25 Fields

 210 Manifolds and cell complexes (57-XX) 14 Dynamical systems and ergodic theory (37-XX) 10 Group theory and generalizations (20-XX) 5 Combinatorics (05-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)