Geometry and topology of manifolds /
"This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the probl...
| Other Authors: | |
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| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
[2005], ©2005
Providence, R.I. : c2005 Providence, R.I. : ©2005 Providence, R.I. : 2005 |
| Series: | Fields Institute communications ;
v. 47 Fields Institute communications v. 47 |
| Subjects: |
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| 245 | 0 | 0 | |a Geometry and topology of manifolds / |c Hans U. Boden ... [et al.] editors |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c [2005], ©2005 | ||
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c c2005 | ||
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c ©2005 | ||
| 264 | 1 | |a Providence, R.I. : |b American Mathematical Society, |c 2005 | |
| 300 | |a xii, 347 p. : |b ill. ; |c 26 cm | ||
| 300 | |a xii, 347 p. : |b ill. ; |c 27 cm | ||
| 300 | |a xii, 347 pages : |b illustrations ; |c 26 cm | ||
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| 490 | 1 | |a Fields Institute communications, |x 1069-5265 ; |v 47 | |
| 500 | |a "The papers collected for this volume were contributed by participants of the conference 'Geometry and Topology of Manifolds' held at McMaster University, May 14-18, 2004"--Pref | ||
| 504 | |a Includes bibliographical references | ||
| 505 | 0 | |a An involution acting nontrivially on Heegaard-Floer homology / Selman Akbulut and Selahi Durusoy -- Pseudoholomorphic curves in four-orbifolds and some applications / Weimin Chen -- Floer homology for knots and 3-manifolds and cyclic Dehn surgeries along knots / Olivier Collin -- A PSL[subscript 2](C) Casson invariant / Cynthia L. Curtis -- The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds / James F. Davis -- Invariants of knots, embeddings, and immersions via contact geometry / Tobias Ekholm and John B. Etnyre -- SO(3) monopoles : the overlap problem / Paul M. N. Feehan and Thomas G. Leness -- Heegaard Floer homology of mapping Tori II / Stanislav Jabuka and Thomas Mark -- Surface in 4-manifolds and the surgery conjecture / Vyacheslav S. Krushkal -- Symplectic gluing and family Gromov-Witten invariants / Junho Lee and Thomas H. Parker -- Heegaard splittings and Seiberg-Witten monopoles / Yi-Jen Lee -- Existence of symplectic surfaces / Tian-Jun Li -- On the Heegaard Floer homology of S[subscript -d][superscript 3](K) and unicuspidal rational plane curves / Andras Nemethi -- Examples of symplectic 4-manifolds with positive signature / Martin Niepel -- Definite manifolds bounded by rational homology three spheres / Brendan Owens and Saso Strle -- On park's exotic smooth four-manifolds / Peter Ozsvath and Soltan Szabo -- Knot polynomials and knot homologies / Jacob Rasmussen -- Casson-type invariants in dimension four / Daniel Ruberman and Nikolai Saveliev -- Culler-Shalen norms and invariant trace fields / Samuel Schack and Xingru Zhang -- Complex spin structures on 3-manifolds / Laurence R. Taylor -- Lefschetz fibrations and pseudoholomorphic curves / Michael Usher -- The isotopy problem for symplectic 4-manifolds / Stefano Vidussi | |
| 505 | 0 | 0 | |t An involution acting nontrivially on Heegaard-Floer homology / |r Selman Akbulut and Selahi Durusoy -- |t Pseudoholomorphic curves in four-orbifolds and some applications / |r Weimin Chen -- |t Floer homology for knots and 3-manifolds and cyclic Dehn surgeries along knots / |r Olivier Collin -- |t A PSL[subscript 2](C) Casson invariant / |r Cynthia L. Curtis -- |t The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds / |r James F. Davis -- |t Invariants of knots, embeddings, and immersions via contact geometry / |r Tobias Ekholm and John B. Etnyre -- |t SO(3) monopoles : the overlap problem / |r Paul M. N. Feehan and Thomas G. Leness -- |t Heegaard Floer homology of mapping Tori II / |r Stanislav Jabuka and Thomas Mark -- |t Surface in 4-manifolds and the surgery conjecture / |r Vyacheslav S. Krushkal -- |t Symplectic gluing and family Gromov-Witten invariants / |r Junho Lee and Thomas H. Parker -- |t Heegaard splittings and Seiberg-Witten monopoles / |r Yi-Jen Lee -- |t Existence of symplectic surfaces / |r Tian-Jun Li -- |t On the Heegaard Floer homology of S[subscript -d][superscript 3](K) and unicuspidal rational plane curves / |r Andras Nemethi -- |t Examples of symplectic 4-manifolds with positive signature / |r Martin Niepel -- |t Definite manifolds bounded by rational homology three spheres / |r Brendan Owens and Saso Strle -- |t On park's exotic smooth four-manifolds / |r Peter Ozsvath and Soltan Szabo -- |t Knot polynomials and knot homologies / |r Jacob Rasmussen -- |t Casson-type invariants in dimension four / |r Daniel Ruberman and Nikolai Saveliev -- |t Culler-Shalen norms and invariant trace fields / |r Samuel Schack and Xingru Zhang -- |t Complex spin structures on 3-manifolds / |r Laurence R. Taylor -- |t Lefschetz fibrations and pseudoholomorphic curves / |r Michael Usher -- |t The isotopy problem for symplectic 4-manifolds / |r Stefano Vidussi |
| 505 | 0 | 0 | |t An involution acting nontrivially on Heegaard-Floer homology / |r Selman Akbulut and Selahi Durusoy -- |t Pseudoholomorphic curves in four-orbifolds and some applications / |r Weimin Chen -- |t Floer homology for knots and 3-manifolds and cyclic Dehn surgeries along knots / |r Olivier Collin -- |t A PSL[subscript 2](C) Casson invariant / |r Cynthia L. Curtis -- |t The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds / |r James F. Davis -- |t Invariants of knots, embeddings, and immersions via contact geometry / |r Tobias Ekholm and John B. Etnyre -- |t SO(3) monopoles : the overlap problem / |r Paul M. N. Feehan and Thomas G. Leness -- |t Heegaard Floer homology of mapping Tori II / |r Stanislav Jabuka and Thomas Mark -- |t Surface in 4-manifolds and the surgery conjecture / |r Vyacheslav S. Krushkal -- |t Symplectic gluing and family Gromov-Witten invariants / |r Junho Lee and Thomas H. Parker -- |t Heegaard splittings and Seiberg-Witten monopoles / |r Yi-Jen Lee -- |t Existence of symplectic surfaces / |r Tian-Jun Li -- |t On the Heegaard Floer homology of S[subscript -d][superscript 3](K) and unicuspidal rational plane curves / |r Andras Nemethi -- |t Examples of symplectic 4-manifolds with positive signature / |r Martin Niepel -- |t Definite manifolds bounded by rational homology three spheres / |r Brendan Owens and Saso Strle -- |t On park's exotic smooth four-manifolds / |r Peter Ozsvath and Soltan Szabo -- |t Knot polynomials and knot homologies / |r Jacob Rasmussen -- |t Casson-type invariants in dimension four / |r Daniel Ruberman and Nikolai Saveliev -- |t Culler-Shalen norms and invariant trace fields / |r Samuel Schack and Xingru Zhang -- |t Complex spin structures on 3-manifolds / |r Laurence R. Taylor -- |t Lefschetz fibrations and pseudoholomorphic curves / |r Michael Usher -- |t The isotopy problem for symplectic 4-manifolds / |r Stefano Vidussi |
| 505 | 0 | 0 | |t An involution acting nontrivially on Heegaard-Floer homology / |r Selman Akbulut and Selahi Durusoy -- |t Pseudoholomorphic curves in four-orbifolds and some applications / |r Weimin Chen -- |t Floer homology for knots and 3-manifolds and cyclic Dehn surgeries along knots / |r Olivier Collin -- |t A PSL₂(C) Casson invariant / |r Cynthia L. Curtis -- |t The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds / |r James F. Davis -- |t Invariants of knots, embeddings, and immersions via contact geometry / |r Tobias Ekholm and John B. Etnyre -- |t SO(3) monopoles : the overlap problem / |r Paul M. N. Feehan and Thomas G. Leness -- |t Heegaard Floer homology of mapping Tori II / |r Stanislav Jabuka and Thomas Mark -- |t Surface in 4-manifolds and the surgery conjecture / |r Vyacheslav S. Krushkal -- |t Symplectic gluing and family Gromov-Witten invariants / |r Junho Lee and Thomas H. Parker -- |t Heegaard splittings and Seiberg-Witten monopoles / |r Yi-Jen Lee -- |t Existence of symplectic surfaces / |r Tian-Jun Li -- |t On the Heegaard Floer homology of S[subscript -d]³(K) and unicuspidal rational plane curves / |r Andras Nemethi -- |t Examples of symplectic 4-manifolds with positive signature / |r Martin Niepel -- |t Definite manifolds bounded by rational homology three spheres / |r Brendan Owens and Saso Strle -- |t On park's exotic smooth four-manifolds / |r Peter Ozsvath and Soltan Szabo -- |t Knot polynomials and knot homologies / |r Jacob Rasmussen -- |t Casson-type invariants in dimension four / |r Daniel Ruberman and Nikolai Saveliev -- |t Culler-Shalen norms and invariant trace fields / |r Samuel Schack and Xingru Zhang -- |t Complex spin structures on 3-manifolds / |r Laurence R. Taylor -- |t Lefschetz fibrations and pseudoholomorphic curves / |r Michael Usher -- |t The isotopy problem for symplectic 4-manifolds / |r Stefano Vidussi |
| 520 | 1 | |a "This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory, Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14-18, 2004 and are representative of the many excellent talks delivered at the conference."--BOOK JACKET | |
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