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| Softcover ISBN: | 978-1-4704-7087-6 |
| Product Code: | PSPUM/109 |
| List Price: | $139.00 |
| MAA Member Price: | $125.10 |
| AMS Member Price: | $111.20 |
| eBook ISBN: | 978-1-4704-7758-5 |
| Product Code: | PSPUM/109.E |
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| Softcover ISBN: | 978-1-4704-7087-6 |
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 109; 2024; 284 ppMSC: Primary 53; 57
This volume contains the proceedings of the summer school and research conference “Frontiers in Geometry and Topology”, celebrating the sixtieth birthday of Tomasz Mrowka, which was held from August 1–12, 2022, at the Abdus Salam International Centre for Theoretical Physics (ICTP).
The summer school featured ten lecturers and the research conference featured twenty-three speakers covering a range of topics. A common thread, reflecting Mrowka's own work, was the rich interplay among the fields of analysis, geometry, and topology.
Articles in this volume cover topics including knot theory; the topology of three and four-dimensional manifolds; instanton, monopole, and Heegaard Floer homologies; Khovanov homology; and pseudoholomorphic curve theory.
ReadershipResearchers and graduate students interested in recent developments in low-dimensional topology.
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Table of Contents
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Articles
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Francesco Lin — Lectures on families of Dirac operators and applications
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Thomas Walpuski — Lectures on generalised Seiberg–Witten equations
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Nima Anvari — A splitting formula in instanton Floer homology
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Nima Anvari and Ian Hambleton — Finite group actions on $4$-manifolds and equivariant bundles
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Dave Auckly and Daniel Ruberman — Exotic families of embeddings
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John A. Baldwin and Steven Sivek — An instanton take on some knot detection results
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Hans U. Boden, Christopher M. Herald and Paul Kirk — Examples of homology 3-spheres whose Chern-Simons function is not Morse-Bott
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Lothar Göttsche — Blowup formulas for Segre and Verlinde numbers of surfaces and higher rank Donaldson invariants
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Kristen Hendricks, Jennifer Hom, Matthew Stoffregen and Ian Zemke — A note on PL-disks and rationally slice knots
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Robert Lipshitz and Sucharit Sarkar — Khovanov homology of strongly invertible knots and their quotients
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Paolo Lisca and Andrea Parma — On almost complex embeddings of rational homology balls
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Maggie Miller — Explicitly describing fibered 3-manifolds through families of singularly fibered surfaces
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András I. Stipsicz and Zoltán Szabó — On the minimal genus problem in four-manifolds
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Joshua Wang — The Gysin sequence and the $\mathfrak {sl}(N)$ homology of $T(2,m)$
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Claudius Zibrowius — Heegaard Floer multicurves of double tangles
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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- Additional Material
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This volume contains the proceedings of the summer school and research conference “Frontiers in Geometry and Topology”, celebrating the sixtieth birthday of Tomasz Mrowka, which was held from August 1–12, 2022, at the Abdus Salam International Centre for Theoretical Physics (ICTP).
The summer school featured ten lecturers and the research conference featured twenty-three speakers covering a range of topics. A common thread, reflecting Mrowka's own work, was the rich interplay among the fields of analysis, geometry, and topology.
Articles in this volume cover topics including knot theory; the topology of three and four-dimensional manifolds; instanton, monopole, and Heegaard Floer homologies; Khovanov homology; and pseudoholomorphic curve theory.
Researchers and graduate students interested in recent developments in low-dimensional topology.
-
Articles
-
Francesco Lin — Lectures on families of Dirac operators and applications
-
Thomas Walpuski — Lectures on generalised Seiberg–Witten equations
-
Nima Anvari — A splitting formula in instanton Floer homology
-
Nima Anvari and Ian Hambleton — Finite group actions on $4$-manifolds and equivariant bundles
-
Dave Auckly and Daniel Ruberman — Exotic families of embeddings
-
John A. Baldwin and Steven Sivek — An instanton take on some knot detection results
-
Hans U. Boden, Christopher M. Herald and Paul Kirk — Examples of homology 3-spheres whose Chern-Simons function is not Morse-Bott
-
Lothar Göttsche — Blowup formulas for Segre and Verlinde numbers of surfaces and higher rank Donaldson invariants
-
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen and Ian Zemke — A note on PL-disks and rationally slice knots
-
Robert Lipshitz and Sucharit Sarkar — Khovanov homology of strongly invertible knots and their quotients
-
Paolo Lisca and Andrea Parma — On almost complex embeddings of rational homology balls
-
Maggie Miller — Explicitly describing fibered 3-manifolds through families of singularly fibered surfaces
-
András I. Stipsicz and Zoltán Szabó — On the minimal genus problem in four-manifolds
-
Joshua Wang — The Gysin sequence and the $\mathfrak {sl}(N)$ homology of $T(2,m)$
-
Claudius Zibrowius — Heegaard Floer multicurves of double tangles
