Manifolds and Modular Forms: Edition 2

Springer Science & Business Media
Free sample

During the winter term 1987/88 I gave a course at the University of Bonn under the title "Manifolds and Modular Forms". I wanted to develop the theory of "Elliptic Genera" and to learn it myself on this occasion. This theory due to Ochanine, Landweber, Stong and others was relatively new at the time. The word "genus" is meant in the sense of my book "Neue Topologische Methoden in der Algebraischen Geometrie" published in 1956: A genus is a homomorphism of the Thorn cobordism ring of oriented compact manifolds into the complex numbers. Fundamental examples are the signature and the A-genus. The A-genus equals the arithmetic genus of an algebraic manifold, provided the first Chern class of the manifold vanishes. According to Atiyah and Singer it is the index of the Dirac operator on a compact Riemannian manifold with spin structure. The elliptic genera depend on a parameter. For special values of the parameter one obtains the signature and the A-genus. Indeed, the universal elliptic genus can be regarded as a modular form with respect to the subgroup r (2) of the modular group; the two cusps 0 giving the signature and the A-genus. Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold.
Read more



Additional Information

Springer Science & Business Media
Read more
Published on
Jun 29, 2013
Read more
Read more
Read more
Read more
Best For
Read more
Read more
Technology & Engineering / Engineering (General)
Technology & Engineering / General
Read more
Content Protection
This content is DRM protected.
Read more

Reading information

Smartphones and Tablets

Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.

Laptops and Computers

You can read books purchased on Google Play using your computer's web browser.

eReaders and other devices

To read on e-ink devices like the Sony eReader or Barnes & Noble Nook, you'll need to download a file and transfer it to your device. Please follow the detailed Help center instructions to transfer the files to supported eReaders.
"This is teaching at its best!"

--Hans Camenzind, inventor of the 555 timer (the world's most successful integrated circuit), and author of Much Ado About Almost Nothing: Man's Encounter with the Electron (

"A fabulous book: well written, well paced, fun, and informative. I also love the sense of humor. It's very good at disarming the fear. And it's gorgeous. I'll be recommending this book highly."

--Tom Igoe, author of Physical Computing and Making Things Talk

Want to learn the fundamentals of electronics in a fun, hands-on way? With Make: Electronics, you'll start working on real projects as soon as you crack open the book. Explore all of the key components and essential principles through a series of fascinating experiments. You'll build the circuits first, then learn the theory behind them!

Build working devices, from simple to complex You'll start with the basics and then move on to more complicated projects. Go from switching circuits to integrated circuits, and from simple alarms to programmable microcontrollers. Step-by-step instructions and more than 500 full-color photographs and illustrations will help you use -- and understand -- electronics concepts and techniques.

Discover by breaking things: experiment with components and learn from failure Set up a tricked-out project space: make a work area at home, equipped with the tools and parts you'll need Learn about key electronic components and their functions within a circuit Create an intrusion alarm, holiday lights, wearable electronic jewelry, audio processors, a reflex tester, and a combination lock Build an autonomous robot cart that can sense its environment and avoid obstacles Get clear, easy-to-understand explanations of what you're doing and why
“The truth is always made up of little particulars which sound ridiculous when repeated.” So says Jack Crabb, the 111-year-old narrator of Thomas Berger’s 1964 masterpiece of American fiction, Little Big Man. Berger claimed the Western as serious literature with this savage and epic account of one man’s extraordinary double life.

After surviving the massacre of his pioneer family, ten-year-old Jack is adopted by an Indian chief who nicknames him Little Big Man. As a Cheyenne, he feasts on dog, loves four wives, and sees his people butchered by horse soldiers commanded by General George Armstrong Custer. Later, living as a white man once more, he hunts the buffalo to near-extinction, tangles with Wyatt Earp, cheats Wild Bill Hickok, and fights in the Battle of Little Bighorn alongside Custer himself—a man he’d sworn to kill. Hailed by The Nation as “a seminal event,” Little Big Man is a singular literary achievement that, like its hero, only gets better with age.

Praise for Little Big Man
“An epic such as Mark Twain might have given us.”—Henry Miller
“The very best novel ever about the American West.”—The New York Times Book Review
“Spellbinding . . . [Crabb] surely must be one of the most delightfully absurd fictional fossils ever unearthed.”—Time
“Superb . . . Berger’s success in capturing the points of view and emotional atmosphere of a vanished era is uncanny. His skill in characterization, his narrative power and his somewhat cynical humor are all outstanding.”—The New York Times 

From the Trade Paperback edition.
A bitterly comic novel of middle-aged angst and middle-class American life in the 1960s, by the acclaimed author of Little Big Man

It is the late sixties in suburbia, and Carlo Reinhart’s life is a mess. He’s fat, broke, middle aged, and unemployed. His anarchist son hates him, and his wife has taken a younger lover and thrown Carlo out of the house. In fact, the only one who doesn’t consider him contemptible and ridiculous seems to be Carlo’s adoring, overweight daughter, who is almost as pathetic as he is. Even his affair with a twenty-two-year-old nymphomaniac is strangely unsatisfying.
Then, just as he’s reaching his lowest point, the self-styled Ultimate Human Irrelevancy is offered a golden opportunity to grab a piece of the American Dream, thanks to the reappearance of his old school chum Bob Sweet. Bob, who has a gift for success, is inviting Reinhart to get in on the ground floor of his latest venture: cryonics. But while Carlo loves the taste of the good life that his friend has suddenly provided, he’s not quite certain whether Sweet wants him as a partner . . . or as a human popsicle.
The third novel in Thomas Berger’s acclaimed Carlo Reinhart Series, Vital Parts is a stingingly hilarious swipe at twentieth-century culture and mores. Unrestrained and unapologetic, it is a tour de force from a master satirist that stands alongside Joseph Heller’s Catch-22, John Kennedy Toole’s A Confederacy of Dunces, and the novels of Kurt Vonnegut as a trenchant and funny comment on American life.

Nominated for a Pulitzer Prize, The Feud chronicles a hilariously destructive rivalry between families from neighboring towns in 1930s America.

"I marked my copy of THE FEUD with a star wherever its blend of irony, parody and slapstick made me laugh out loud; some pages look like a map of the Milky Way." —The Washington Post Book World

“A comic masterpiece” —Anne Tyler

What begins as a small spat over an unlit cigar in a hardware store spirals out of control for Dolf Beller and Bud Bullard. Dolf has come to make good on a promise he made to his wife years ago. Feeling generous, he’s finally getting around to stripping the varnish off her dresser to reveal the mahogany within. It’s a job he’s never done before, and worst of all, the teenager that’s supposed to be helping him at the counter begins hassling him for chomping on an unlit cigar.

When Bud Jr. calls over his father to talk things out, Dolf is about ready for a fight. He just wasn’t prepared to have a gun drawn on him by a one of Bud Bullard’s relative—who just happened to be there and happened to love impersonating a police officer. Left embarrassed and begging for his life, Dolf goes home and tells a version of his story his pride can live with. He also bars his family from communicating with any of the Bullards. Conflict resolved.

Until the next day, when Bud’s hardware store goes up in flames and Dolf’s car explodes. Unable to see the incidents as unrelated, these two families enter a battle that’s as bitter as it is funny. With rich characters dotting every page, this is a Berger classic that can’t be put down.
©2018 GoogleSite Terms of ServicePrivacyDevelopersArtistsAbout Google
By purchasing this item, you are transacting with Google Payments and agreeing to the Google Payments Terms of Service and Privacy Notice.